diff --git a/src/rpc/mining.cpp b/src/rpc/mining.cpp
index eb2d5b9c5f0..066a60b71b6 100644
--- a/src/rpc/mining.cpp
+++ b/src/rpc/mining.cpp
@@ -1103,6 +1103,8 @@ static RPCHelpMan estimatesmartfee()
     RPCTypeCheckArgument(request.params[0], UniValue::VNUM);
 
     CBlockPolicyEstimator& fee_estimator = EnsureAnyFeeEstimator(request.context);
+    const NodeContext& node = EnsureAnyNodeContext(request.context);
+    const CTxMemPool& mempool = EnsureMemPool(node);
 
     unsigned int max_target = fee_estimator.HighestTargetTracked(FeeEstimateHorizon::LONG_HALFLIFE);
     unsigned int conf_target = ParseConfirmTarget(request.params[0], max_target);
@@ -1118,7 +1120,10 @@ static RPCHelpMan estimatesmartfee()
     UniValue result(UniValue::VOBJ);
     UniValue errors(UniValue::VARR);
     FeeCalculation feeCalc;
-    CFeeRate feeRate = fee_estimator.estimateSmartFee(conf_target, &feeCalc, conservative);
+    CFeeRate feeRate{fee_estimator.estimateSmartFee(conf_target, &feeCalc, conservative)};
+    CFeeRate min_mempool_feerate{mempool.GetMinFee(gArgs.GetIntArg("-maxmempool", DEFAULT_MAX_MEMPOOL_SIZE) * 1000000)};
+    CFeeRate min_relay_feerate{::minRelayTxFee};
+    feeRate = std::max({feeRate, min_mempool_feerate, min_relay_feerate});
     if (feeRate != CFeeRate(0)) {
         result.pushKV("feerate", ValueFromAmount(feeRate.GetFeePerK()));
     } else {
diff --git a/test/functional/feature_fee_estimation.py b/test/functional/feature_fee_estimation.py
index c4610f98bd7..9c225dc6877 100755
--- a/test/functional/feature_fee_estimation.py
+++ b/test/functional/feature_fee_estimation.py
@@ -132,9 +132,13 @@ def check_smart_estimates(node, fees_seen):
     delta = 1.0e-6  # account for rounding error
     last_feerate = float(max(fees_seen))
     all_smart_estimates = [node.estimatesmartfee(i) for i in range(1, 26)]
+    mempoolMinFee = node.getmempoolinfo()['mempoolminfee']
+    minRelaytxFee = node.getmempoolinfo()['minrelaytxfee']
     for i, e in enumerate(all_smart_estimates):  # estimate is for i+1
         feerate = float(e["feerate"])
         assert_greater_than(feerate, 0)
+        assert_greater_than_or_equal(feerate, float(mempoolMinFee))
+        assert_greater_than_or_equal(feerate, float(minRelaytxFee))
 
         if feerate + delta < min(fees_seen) or feerate - delta > max(fees_seen):
             raise AssertionError(f"Estimated fee ({feerate}) out of range ({min(fees_seen)},{max(fees_seen)})")
@@ -275,6 +279,12 @@ class EstimateFeeTest(BitcoinTestFramework):
         self.log.info("Final estimates after emptying mempools")
         check_estimates(self.nodes[1], self.fees_per_kb)
 
+        # check that the effective feerate is greater than or equal to the mempoolminfee even for high mempoolminfee
+        self.log.info("Test fee rate estimation after restarting node with high MempoolMinFee")
+        high_val = 3*self.nodes[1].estimatesmartfee(1)['feerate']
+        self.restart_node(1, extra_args=[f'-minrelaytxfee={high_val}'])
+        check_estimates(self.nodes[1], self.fees_per_kb)
+
         self.log.info("Testing that fee estimation is disabled in blocksonly.")
         self.restart_node(0, ["-blocksonly"])
         assert_raises_rpc_error(-32603, "Fee estimation disabled",