diff --git a/src/ocean/Compute.ts b/src/ocean/Compute.ts
index ab5e196c..145b74cf 100644
--- a/src/ocean/Compute.ts
+++ b/src/ocean/Compute.ts
@@ -175,7 +175,8 @@ export class Compute extends Instantiable {
    * Returns information about the status of all compute jobs, or a single compute job.
    * @param  {Account} consumerAccount The account of the consumer ordering the service.
    * @param  {string} did Decentralized identifier.
-   * @param  {string} jobId The ID of the compute job to be stopped
+   * @param  {string} jobId The jobId of the compute job
+   * @param  {string} jobId The Order transaction id
    * @param  {boolean} sign If the provider request is going to be signed(default) (full status) or not (short status)
    * @return {Promise<ComputeJob[]>} Returns the status
    */
@@ -183,6 +184,7 @@ export class Compute extends Instantiable {
     consumerAccount: Account,
     did?: string,
     jobId?: string,
+    txId?: string,
     sign = true
   ): Promise<ComputeJob[]> {
     let provider: Provider
@@ -204,7 +206,7 @@ export class Compute extends Instantiable {
       undefined,
       jobId,
       undefined,
-      undefined,
+      txId,
       undefined,
       undefined,
       undefined,
diff --git a/src/provider/Provider.ts b/src/provider/Provider.ts
index fd3d5757..7ebc2e38 100644
--- a/src/provider/Provider.ts
+++ b/src/provider/Provider.ts
@@ -195,7 +195,7 @@ export class Provider extends Instantiable {
       ''
     url += (jobId && `&jobId=${jobId}`) || ''
     url += `&consumerAddress=${address}`
-    url += `&transferTxId=${txId}` || ''
+    url += (txId && `&transferTxId=${txId}`) || ''
     url +=
       (algorithmTransferTxId && `&algorithmTransferTxId=${algorithmTransferTxId}`) || ''
     url += (algorithmDataToken && `&algorithmDataToken=${algorithmDataToken}`) || ''
diff --git a/test/integration/ComputeFlow.test.ts b/test/integration/ComputeFlow.test.ts
index b9bf131c..ddf2ed18 100644
--- a/test/integration/ComputeFlow.test.ts
+++ b/test/integration/ComputeFlow.test.ts
@@ -40,6 +40,7 @@ describe('Compute flow', () => {
   let data: { t: number; url: string }
   let blob: string
   let jobId: string
+  let computeOrderId: string
 
   let cluster: Cluster
   let servers: Server[]
@@ -330,17 +331,17 @@ describe('Compute flow', () => {
 
   it('Bob starts compute job with a raw Algo', async () => {
     const output = {}
-    const order = await ocean.compute.order(
+    computeOrderId = await ocean.compute.order(
       bob.getId(),
       ddo.id,
       computeService.index,
       undefined,
       algorithmMeta
     )
-    assert(order != null)
+    assert(computeOrderId != null)
     const response = await ocean.compute.start(
       ddo.id,
-      order,
+      computeOrderId,
       tokenAddress,
       bob,
       undefined,
@@ -352,14 +353,31 @@ describe('Compute flow', () => {
     jobId = response.jobId
     assert(response.status >= 10)
   })
+  it('Bob should get status of a compute job with a specific order txId', async () => {
+    assert(jobId != null)
+    const response = await ocean.compute.status(
+      bob,
+      undefined,
+      undefined,
+      computeOrderId,
+      true
+    )
+    assert(response[0].jobId === jobId)
+  })
   it('Bob should get status of a compute job without signing', async () => {
     assert(jobId != null)
-    const response = await ocean.compute.status(bob, ddo.id, jobId, false)
+    const response = await ocean.compute.status(bob, ddo.id, jobId, undefined, false)
     assert(response[0].jobId === jobId)
   })
 
   it('should get status of all compute jobs for an address without signing', async () => {
-    const response = await ocean.compute.status(bob, undefined, undefined, false)
+    const response = await ocean.compute.status(
+      bob,
+      undefined,
+      undefined,
+      undefined,
+      false
+    )
     assert(response.length > 0)
   })
   it('Bob should get status of a compute job', async () => {