diff --git a/spalloc_client/job.py b/spalloc_client/job.py
index 3376e4a63..05e12f0e7 100644
--- a/spalloc_client/job.py
+++ b/spalloc_client/job.py
@@ -19,7 +19,7 @@
 import subprocess
 import time
 from types import TracebackType
-from typing import Any, cast, Dict, Optional, Tuple, Type
+from typing import Any, cast, Dict, Optional, Tuple, Type, Union
 import sys
 
 from typing_extensions import Literal, Self
@@ -127,7 +127,7 @@ class Job(object):
         allocated.
     """
 
-    def __init__(self, *args: int, **kwargs: Dict[str, Any]):
+    def __init__(self, *args: int, **kwargs: Union[float, str, None]):
         """ Request a SpiNNaker machine.
 
         A :py:class:`.Job` is constructed in one of the following styles::
diff --git a/spalloc_client/scripts/alloc.py b/spalloc_client/scripts/alloc.py
index 5575142d8..057028340 100644
--- a/spalloc_client/scripts/alloc.py
+++ b/spalloc_client/scripts/alloc.py
@@ -427,7 +427,8 @@ def parse_argv(argv: Optional[List[str]]) -> Tuple[
     return parser, parser.parse_args(argv)
 
 
-def run_job(job_args: List[int], job_kwargs: Dict[str, Any],
+def run_job(job_args: List[int],
+            job_kwargs: Dict[str, Union[float, str, None]],
             ip_file_filename: str) -> int:
     """
     Run a job
@@ -497,7 +498,7 @@ def main(argv: Optional[List[str]] = None) -> int:
         parser.error("--hostname of spalloc server must be specified")
 
     # Set universal job arguments
-    job_kwargs = {
+    job_kwargs: Dict[str, Union[float, str, None]] = {
         "hostname": arguments.hostname,
         "port": arguments.port,
         "reconnect_delay": _minzero(arguments.reconnect_delay),