diff --git a/packages/blaze-tx/src/tx.ts b/packages/blaze-tx/src/tx.ts
index e6fb8e7e..6c8478c8 100644
--- a/packages/blaze-tx/src/tx.ts
+++ b/packages/blaze-tx/src/tx.ts
@@ -1263,7 +1263,9 @@ export class TxBuilder {
     // Gather all inputs from the transaction body.
     const inputs = [...this.body.inputs().values()];
     // Perform initial checks and preparations for coin selection.
-    let excessValue = this.getPitch(5_000_000n);
+    const preliminaryDraftTx = new Transaction(this.body, new TransactionWitnessSet());
+    const preliminaryFee = this.params.minFeeConstant + fromHex(preliminaryDraftTx.toCbor()).length * this.params.minFeeCoefficient;
+    let excessValue = this.getPitch(bigintMax(BigInt(Math.ceil(preliminaryFee)), this.minimumFee));
     let spareInputs: TransactionUnspentOutput[] = [];
     for (const [utxo] of this.utxos.entries()) {
       if (!inputs.includes(utxo.input())) {