Do you know how to read the error codes? Find the proper connector, jumper it with a paperclip & watch the light flashing.

When you read codes, you get engine ECU codes & also ABS system codes. Honda had a couple different code lists over the years, so be sure it's the right list for your car. There's different ways to interpret the flashing, depending on which year...

My '95 Integra ABS has no error code for the VSS. I don't have the Helm book in front of me, but I didn't think the ABS even uses the VSS (it's got it's own wheel sensors). That makes me wonder what the mechanic is saying?

But even if it's true about the VSS, it could be that the VSS itself is OK, as well as the circuit to the ECU & cluster. But the circuit back to the ABS controller might be open...