diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index 72b64b8433..0396e175db 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -55,6 +55,8 @@ variables:
   BIND_STRESS_TEST_OS: linux
   BIND_STRESS_TEST_ARCH: amd64
 
+  HYPOTHESIS_PROFILE: "ci"
+
 default:
   # Allow all running CI jobs to be automatically canceled when a new
   # version of a branch is pushed.
diff --git a/bin/tests/system/wildcard/tests_wildcard.py b/bin/tests/system/wildcard/tests_wildcard.py
index cd5b278d28..f304f966b3 100755
--- a/bin/tests/system/wildcard/tests_wildcard.py
+++ b/bin/tests/system/wildcard/tests_wildcard.py
@@ -28,6 +28,7 @@ Limitations - untested properties:
     - special behavior of rdtypes like CNAME
 """
 
+import os
 import pytest
 
 pytest.importorskip("dns", minversion="2.0.0")
@@ -47,7 +48,7 @@ try:
     pytest.importorskip("hypothesis")
 except ValueError:
     pytest.importorskip("hypothesis", minversion="4.41.2")
-from hypothesis import assume, example, given
+from hypothesis import assume, example, given, settings
 
 from strategies import dns_names, dns_rdatatypes_without_meta
 import isctest.check
@@ -62,6 +63,10 @@ WILDCARD_RDATA = "192.0.2.1"
 IP_ADDR = "10.53.0.1"
 TIMEOUT = 5  # seconds, just a sanity check
 
+# Timing of hypothesis tests is flaky in the CI, so we disable deadlines.
+settings.register_profile("ci", deadline=None)
+settings.load_profile(os.getenv("HYPOTHESIS_PROFILE", "default"))
+
 
 @given(name=dns_names(suffix=SUFFIX), rdtype=dns_rdatatypes_without_meta)
 def test_wildcard_rdtype_mismatch(