diff --git a/procrastinate/blueprints.py b/procrastinate/blueprints.py
index 5f737d3b4..e39619189 100644
--- a/procrastinate/blueprints.py
+++ b/procrastinate/blueprints.py
@@ -3,9 +3,9 @@
 import functools
 import logging
 import sys
-from typing import TYPE_CHECKING, Any, Callable, Literal, Union, cast, overload
+from typing import TYPE_CHECKING, Callable, Literal, Union, cast, overload
 
-from typing_extensions import Concatenate, ParamSpec, Unpack
+from typing_extensions import Concatenate, ParamSpec, TypeVar, Unpack
 
 from procrastinate import exceptions, jobs, periodic, retry, utils
 from procrastinate.job_context import JobContext
@@ -17,6 +17,7 @@
 logger = logging.getLogger(__name__)
 
 P = ParamSpec("P")
+R = TypeVar("R")
 
 
 class Blueprint:
@@ -210,7 +211,7 @@ def task(
         priority: int = jobs.DEFAULT_PRIORITY,
         lock: str | None = None,
         queueing_lock: str | None = None,
-    ) -> Callable[[Callable[P]], Task[P, P]]:
+    ) -> Callable[[Callable[P, R]], Task[P, R, P]]:
         """Declare a function as a task. This method is meant to be used as a decorator
         Parameters
         ----------
@@ -265,8 +266,8 @@ def task(
         lock: str | None = None,
         queueing_lock: str | None = None,
     ) -> Callable[
-        [Callable[Concatenate[JobContext, P]]],
-        Task[Concatenate[JobContext, P], P],
+        [Callable[Concatenate[JobContext, P], R]],
+        Task[Concatenate[JobContext, P], R, P],
     ]:
         """Declare a function as a task. This method is meant to be used as a decorator
         Parameters
@@ -277,7 +278,7 @@ def task(
         ...
 
     @overload
-    def task(self, _func: Callable[P]) -> Task[P, P]:
+    def task(self, _func: Callable[P, R]) -> Task[P, R, P]:
         """Declare a function as a task. This method is meant to be used as a decorator
         Parameters
         ----------
@@ -288,7 +289,7 @@ def task(self, _func: Callable[P]) -> Task[P, P]:
 
     def task(
         self,
-        _func: Callable[P] | None = None,
+        _func: Callable[P, R] | None = None,
         *,
         name: str | None = None,
         aliases: list[str] | None = None,
@@ -316,7 +317,7 @@ def my_task(args):
         The second form will use the default value for all parameters.
         """
 
-        def _wrap(func: Callable[P]) -> Callable[P, Task[P, P]]:
+        def _wrap(func: Callable[P, R]) -> Task[P, R, P]:
             task = Task(
                 func,
                 blueprint=self,
@@ -331,15 +332,21 @@ def _wrap(func: Callable[P]) -> Callable[P, Task[P, P]]:
             )
             self._register_task(task)
 
-            return functools.update_wrapper(task, func, updated=())
+            # The signature of a function returned by functools.update_wrapper
+            # is the same as the signature of the wrapped function (at least on pyright).
+            # Here, we're actually returning a Task so a cast is needed to provide the correct signature.
+            return cast(
+                Task[P, R, P],
+                functools.update_wrapper(task, func, updated=()),
+            )
 
         if _func is None:  # Called as @app.task(...)
             return cast(
                 Union[
-                    Callable[[Callable[P, Any]], Task[P, P]],
+                    Callable[[Callable[P, R]], Task[P, R, P]],
                     Callable[
-                        [Callable[Concatenate[JobContext, P], Any]],
-                        Task[Concatenate[JobContext, P], P],
+                        [Callable[Concatenate[JobContext, P], R]],
+                        Task[Concatenate[JobContext, P], R, P],
                     ],
                 ],
                 _wrap,
diff --git a/procrastinate/periodic.py b/procrastinate/periodic.py
index 938fa980d..78048bffb 100644
--- a/procrastinate/periodic.py
+++ b/procrastinate/periodic.py
@@ -8,11 +8,12 @@
 
 import attr
 import croniter
-from typing_extensions import Concatenate, ParamSpec, Unpack
+from typing_extensions import Concatenate, ParamSpec, TypeVar, Unpack
 
 from procrastinate import exceptions, tasks
 
 P = ParamSpec("P")
+R = TypeVar("R")
 Args = ParamSpec("Args")
 
 # The maximum delay after which tasks will be considered as
@@ -28,8 +29,8 @@
 
 
 @attr.dataclass(frozen=True)
-class PeriodicTask(Generic[P, Args]):
-    task: tasks.Task[P, Args]
+class PeriodicTask(Generic[P, R, Args]):
+    task: tasks.Task[P, R, Args]
     cron: str
     periodic_id: str
     configure_kwargs: tasks.ConfigureTaskOptions
@@ -51,31 +52,33 @@ def periodic_decorator(
         cron: str,
         periodic_id: str,
         **configure_kwargs: Unpack[tasks.ConfigureTaskOptions],
-    ) -> Callable[[tasks.Task[P, Concatenate[int, Args]]], tasks.Task[P, Args]]:
+    ) -> Callable[[tasks.Task[P, R, Concatenate[int, Args]]], tasks.Task[P, R, Args]]:
         """
         Decorator over a task definition that registers that task for periodic
         launch. This decorator should not be used directly, ``@app.periodic()`` is meant
         to be used instead.
         """
 
-        def wrapper(task: tasks.Task[P, Concatenate[int, Args]]) -> tasks.Task[P, Args]:
+        def wrapper(
+            task: tasks.Task[P, R, Concatenate[int, Args]],
+        ) -> tasks.Task[P, R, Args]:
             self.register_task(
                 task=task,
                 cron=cron,
                 periodic_id=periodic_id,
                 configure_kwargs=configure_kwargs,
             )
-            return cast(tasks.Task[P, Args], task)
+            return cast(tasks.Task[P, R, Args], task)
 
         return wrapper
 
     def register_task(
         self,
-        task: tasks.Task[P, Concatenate[int, Args]],
+        task: tasks.Task[P, R, Concatenate[int, Args]],
         cron: str,
         periodic_id: str,
         configure_kwargs: tasks.ConfigureTaskOptions,
-    ) -> PeriodicTask[P, Concatenate[int, Args]]:
+    ) -> PeriodicTask[P, R, Concatenate[int, Args]]:
         key = (task.name, periodic_id)
         if key in self.periodic_tasks:
             raise exceptions.TaskAlreadyRegistered(
diff --git a/procrastinate/tasks.py b/procrastinate/tasks.py
index 7ae3afb68..876da1c69 100644
--- a/procrastinate/tasks.py
+++ b/procrastinate/tasks.py
@@ -2,9 +2,9 @@
 
 import datetime
 import logging
-from typing import Any, Callable, Generic, TypedDict, cast
+from typing import Callable, Generic, TypedDict, cast
 
-from typing_extensions import NotRequired, ParamSpec, Unpack
+from typing_extensions import NotRequired, ParamSpec, TypeVar, Unpack
 
 from procrastinate import app as app_module
 from procrastinate import blueprints, exceptions, jobs, manager, types, utils
@@ -15,6 +15,7 @@
 
 Args = ParamSpec("Args")
 P = ParamSpec("P")
+R = TypeVar("R")
 
 
 class ConfigureTaskOptions(TypedDict):
@@ -62,7 +63,7 @@ def configure_task(
     )
 
 
-class Task(Generic[P, Args]):
+class Task(Generic[P, R, Args]):
     """
     A task is a function that should be executed later. It is linked to a
     default queue, and expects keyword arguments.
@@ -70,7 +71,7 @@ class Task(Generic[P, Args]):
 
     def __init__(
         self,
-        func: Callable[P],
+        func: Callable[P, R],
         *,
         blueprint: blueprints.Blueprint,
         # task naming
@@ -94,7 +95,7 @@ def __init__(
         #: priority is 0.
         self.priority: int = priority
         self.blueprint: blueprints.Blueprint = blueprint
-        self.func: Callable[P] = func
+        self.func: Callable[P, R] = func
         #: Additional names for the task.
         self.aliases: list[str] = aliases if aliases else []
         #: Value indicating the retry conditions in case of
@@ -123,7 +124,7 @@ def add_namespace(self, namespace: str) -> None:
             for alias in self.aliases
         ]
 
-    def __call__(self, *args: P.args, **kwargs: P.kwargs) -> Any:
+    def __call__(self, *args: P.args, **kwargs: P.kwargs) -> R:
         return self.func(*args, **kwargs)
 
     @property