Hull go into the promotion deciding fixtures alongside Sheffield Wednesday, Brighton & Hove Albion and Derby County.
The Tigers will be taking on Derby in the two-legged semi-final of the play offs, and Wilkins feels that Hull’s Premier League experience could stand them in good stead.
“I’ve got a little feeling that [Steve] Bruce [will do it]. He was able to keep most of his Premier League squad,” Wilkins said.
“They scored five [in their last match against Rotherham], and they are coming again and they are coming strong.”
Hull were competing for the automatic promotion spaces, but they dropped out of contention after a poor run of results.
The Tigers failed to keep pace with Burnley and Middlesbrough, and they are still attempting to find their best form once again now.
However, Hull did win 5-1 against Rotherham United in their most recent outing, meaning that they go into the play offs with some momentum on their side.
Hull are set to meet Derby in the first leg of their play off matches on Saturday at the iPro Stadium.
When Hull and Derby met in the regular season, the Rams came out on top both times.