Conte inherited a squad which finished 10th in the Premier League last season but has turned around the Blues' fortunes during his debut campaign in west London.
Chelsea are currently in a commanding position at the top of the table and, barring a dramatic collapse, are expected to go on to secure their fifth top-flight title of the modern era.
The Blues are not content with reclaiming their crown as England's best team and Standard Sport understands Conte will be given significant funds during the summer transfer window with a return to the Champions League on the cards.
Wilkins is adamant the club will be delighted their spell away from the elite is set to be shortlived and believes Conte will be keen to reinforce his already stellar squad.
"They'll be delighted to be in that Champions League, they would have missed it immensely this season," Wilkins told Sky Sports.
"It will be very interesting, I'm sure Antonio will have a few names up his sleeve that he would like to bring in. Defensively they have spoken about bringing players in.
"But at this moment in time they just need a few additions to keep themselves bubbling along - they are all young enough and they all look absolutely superb at the moment," Wilkins added.
Chelsea, who are not in action until they host Crystal Palace on April 1, need just 21 points from their final 10 league games to secure the title.
Meanwhile, Conte is expected to sign a contract extension at Stamford Bridge in the summer, having made an immediate impact in English football.