It's going to depend on the approach of the company and the relative timing of the start. Best of all is if you can keep it quiet (about the job) and push through with the VR. But if you have just started the consultation period, this isn't going to happen by next Monday. Maybe the start date can be delayed? That would be best.
Some employers may say 'good luck to you for finding a job so quick' and let you take the VR and run - though there is going to be a notice period issue.
Since the employer is obliged to give you time off to find a new job (if one is being declared compulsory redundant), others may say you can't have the VR.