Wilkins was appointed as Sherwood's number two soon after the 46-year-old boss took charge, and insists that the pair have no worries about being sacked.
The former Chelsea assistant admits that the pressure is on, but he assures supporters that Villa's season will be much more productive this time around than it was in last campaign.
“We’ll have a better season that the last one and then we’ll be back in business," he said in the Birmingham Mail.
“If you’re a member of Tim’s team, I will give him as much advice as I can, but if the results aren’t good enough you know the score, and we all go. You have to go out doing your own gig but don’t worry about that, though. We’re not going anywhere."
Villa struggled against the drop last term, with their form under Sherwood's predecessor, Paul Lambert, particularly poor.
Sherwood has changed a lot over the summer, with 10 outfield players being introduced to the group at Villa Park, and they still seem to be adapting to their new environment.
Although the Claret and Blues have shown flashes of class, they have not put together a sustained run of form as yet - and a 3-2 loss to Leicester City in their most recent fixture was very disheartening.
They will be looking to bounce back from that reversal at the weekend, though, with a Midlands derby against West Bromwich Albion representing their next test.