The 29-year-old, who has found the net four times in his last four appearances, is in the final year of his current deal.
However, he is hopeful that his recent goalscoring exploits can help him to secure an extension.
"I am out of contract at the end of the season. It's early days but it is lingering at the back of my mind. I just need to keep working hard to try to win a new deal," he told the Daily Record.
Vernon scored just six goals in 41 first-team games last season.