diff --git a/synapse/python_dependencies.py b/synapse/python_dependencies.py
index 154e5b7028e9..7d44b9995186 100644
--- a/synapse/python_dependencies.py
+++ b/synapse/python_dependencies.py
@@ -107,7 +107,7 @@
     "systemd": ["systemd-python>=231"],
     "url_preview": ["lxml>=3.5.0"],
     "sentry": ["sentry-sdk>=0.7.2"],
-    "opentracing": ["jaeger-client>=4.0.0", "opentracing>=2.2.0"],
+    "opentracing": ["jaeger-client>=4.0.0,<4.7.0", "opentracing>=2.2.0"],
     "jwt": ["pyjwt>=1.6.4"],
     # hiredis is not a *strict* dependency, but it makes things much faster.
     # (if it is not installed, we fall back to slow code.)