diff --git a/Makefile b/Makefile
index 409d8d9..cbe9c8f 100644
--- a/Makefile
+++ b/Makefile
@@ -59,3 +59,8 @@ check-format:
 format:
 	$(VIRTUAL_ENV_DIR)/bin/ruff check $(OUTPUT_FLAGS) --select I --fix .
 	$(VIRTUAL_ENV_DIR)/bin/ruff format .
+
+.PHONY: test
+test:
+	uv sync --all-extras
+	uv run py.test tests
diff --git a/brozzler/frontier.py b/brozzler/frontier.py
index 2c872d8..b199c1c 100644
--- a/brozzler/frontier.py
+++ b/brozzler/frontier.py
@@ -65,9 +65,6 @@ def filter_claimable_site_ids(
         if is_claimable:
             claimable_sites.append(site)
 
-        if len(claimable_sites) >= max_sites_to_claim:
-            break
-
     site_ids_to_claim = []
     # gather sites that are under the max without going over
     for site in claimable_sites:
diff --git a/tests/test_frontier.py b/tests/test_frontier.py
index da6f5bf..c0ba2b3 100644
--- a/tests/test_frontier.py
+++ b/tests/test_frontier.py
@@ -1052,6 +1052,46 @@ def test_max_claimed_sites_cross_job(rethinker):
     rr.table("sites").delete().run()
 
 
+def test_many_active_claimed_sites_cross_job(rethinker):
+    rr = rethinker
+    frontier = brozzler.RethinkDbFrontier(rr)
+
+    # clean slate
+    rr.table("jobs").delete().run()
+    rr.table("sites").delete().run()
+
+    job_conf_1 = {
+        "id": 1,
+        "seeds": [{"url": f"http://example.com/{i}"} for i in range(0, 2000)],
+        "max_claimed_sites": 3,
+    }
+    job_conf_2 = {
+        "id": 2,
+        "seeds": [
+            {"url": "http://example.com/1"},
+            {"url": "http://example.com/2"},
+            {"url": "http://example.com/3"},
+            {"url": "http://example.com/4"},
+            {"url": "http://example.com/5"},
+        ],
+        "max_claimed_sites": 5,
+    }
+
+    seeds_seen = []
+    job_1 = brozzler.new_job(frontier, job_conf_1)
+
+    # Claim all possible sites from job 1. We should only get 3 due to max_claimed_sites
+    claimed_sites_1 = frontier.claim_sites(4)
+    assert len(claimed_sites_1) == 3
+
+    # Add 5 more seeds
+    job_2 = brozzler.new_job(frontier, job_conf_2)
+
+    # We shouldn't have trouble getting seeds from job 2
+    claimed_sites_1 = frontier.claim_sites(5)
+    assert len(claimed_sites_1) == 5
+
+
 # Works locally, but reliably fails in CI.
 @pytest.mark.xfail
 def test_max_claimed_sites_load_perf(rethinker):