The 19-year-old has joined the Hoops' Scottish Premiership rivals Partick Thistle on loan until the end of the campaign, but claimed that Deila offered plenty of encouragement regarding his Celtic future before his departure.
"I definitely think I'll get a chance when I go back to Celtic. The gaffer spoke to me just before I came and said it would be a good experience, and that I'll be back in his plans for the start of next season," he told the Evening Times.
"I've signed a contract for another three-and-a-half years, so there's plenty of time for me."
Having made just one appearance for the Bhoys - which came during the League Cup victory over Raith in September when he featured for the final few minutes - the opportunity to potentially play more regularly at the same level as his parent club will offer Nesbitt the perfect chance to prove himself to Deila.
While the Jags are currently just four points clear of Kilmarnock, who occupy the relegation play-off spot, they have two games in hand over Killie, and thus, can make their position much more comfortable in the coming weeks.
And should they extend the gap between themselves and the bottom two, the attacking midfielder will be able to enjoy his time at the club without the pressure of a potential relegation scrap, and perhaps show to Deila what he may be able to do if given his chance at Parkhead next season.