diff --git a/test/functional/rpc_estimatefee.py b/test/functional/rpc_estimatefee.py
new file mode 100755
--- /dev/null
+++ b/test/functional/rpc_estimatefee.py
@@ -0,0 +1,33 @@
+#!/usr/bin/env python3
+# Copyright (c) 2019 The Bitcoin developers
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+
+from decimal import Decimal
+
+from test_framework.test_framework import BitcoinTestFramework
+from test_framework.util import assert_equal
+
+
+class EstimateFeeTest(BitcoinTestFramework):
+    def set_test_params(self):
+        self.setup_clean_chain = True
+        self.num_nodes = 2
+        self.extra_args = [[], ["-minrelaytxfee=0.001"]]
+
+    def run_test(self):
+        for i in range(5):
+            self.nodes[0].generate(1)
+
+            # estimatefee is 0.00001 by default, regardless of block contents
+            assert_equal(self.nodes[0].estimatefee(i), Decimal('0.00001'))
+            # Also test named arguments
+            assert_equal(self.nodes[0].estimatefee(
+                nblocks=i), Decimal('0.00001'))
+
+            # estimatefee may be different for nodes that set it in their config
+            assert_equal(self.nodes[1].estimatefee(i), Decimal('0.001'))
+
+
+if __name__ == '__main__':
+    EstimateFeeTest().main()
diff --git a/test/functional/timing.json b/test/functional/timing.json
--- a/test/functional/timing.json
+++ b/test/functional/timing.json
@@ -247,6 +247,10 @@
   "name": "rpc_decodescript.py",
   "time": 3
  },
+ {
+  "name": "rpc_estimatefee.py",
+  "time": 2
+ },
  {
   "name": "rpc_fundrawtransaction.py",
   "time": 49
@@ -391,4 +395,4 @@
   "name": "wallet_zapwallettxes.py",
   "time": 35
  }
-]
\ No newline at end of file
+]