diff --git a/accounts/abi/bind/backends/simulated.go b/accounts/abi/bind/backends/simulated.go
index 0783b586e1..4b9372a201 100644
--- a/accounts/abi/bind/backends/simulated.go
+++ b/accounts/abi/bind/backends/simulated.go
@@ -448,7 +448,7 @@ func (b *SimulatedBackend) EstimateGas(ctx context.Context, call ethereum.CallMs
 		hi = b.pendingBlock.GasLimit()
 	}
 	// Recap the highest gas allowance with account's balance.
-	if call.GasPrice != nil && call.GasPrice.Uint64() != 0 {
+	if call.GasPrice != nil && call.GasPrice.BitLen() != 0 {
 		balance := b.pendingState.GetBalance(call.From) // from can't be nil
 		available := new(big.Int).Set(balance)
 		if call.Value != nil {
@@ -458,7 +458,7 @@ func (b *SimulatedBackend) EstimateGas(ctx context.Context, call ethereum.CallMs
 			available.Sub(available, call.Value)
 		}
 		allowance := new(big.Int).Div(available, call.GasPrice)
-		if hi > allowance.Uint64() {
+		if allowance.IsUint64() && hi > allowance.Uint64() {
 			transfer := call.Value
 			if transfer == nil {
 				transfer = new(big.Int)
diff --git a/internal/ethapi/api.go b/internal/ethapi/api.go
index ac0b7bed38..c035b7a9ed 100644
--- a/internal/ethapi/api.go
+++ b/internal/ethapi/api.go
@@ -966,7 +966,7 @@ func DoEstimateGas(ctx context.Context, b Backend, args CallArgs, blockNrOrHash
 		hi = block.GasLimit()
 	}
 	// Recap the highest gas limit with account's available balance.
-	if args.GasPrice != nil && args.GasPrice.ToInt().Uint64() != 0 {
+	if args.GasPrice != nil && args.GasPrice.ToInt().BitLen() != 0 {
 		state, _, err := b.StateAndHeaderByNumberOrHash(ctx, blockNrOrHash)
 		if err != nil {
 			return 0, err
@@ -980,7 +980,9 @@ func DoEstimateGas(ctx context.Context, b Backend, args CallArgs, blockNrOrHash
 			available.Sub(available, args.Value.ToInt())
 		}
 		allowance := new(big.Int).Div(available, args.GasPrice.ToInt())
-		if hi > allowance.Uint64() {
+
+		// If the allowance is larger than maximum uint64, skip checking
+		if allowance.IsUint64() && hi > allowance.Uint64() {
 			transfer := args.Value
 			if transfer == nil {
 				transfer = new(hexutil.Big)