Burke has joined Celtic on loan from West Bromwich Albion in the January transfer window.
The former Nottingham Forest winger will be at Celtic Park until the end of the season.
Celtic and Liverpool legend Dalglish has spoken highly of potential that the 21-year-old winger has, and he has also suggested that the Scotland international needs to make this move work.
Dalglish wrote in The Sunday Post: “In the case of Burke, Celtic have signed a player with enormous potential, who offers flexibility in the forward areas of the pitch, whether he is wide right, coming in off the left or straight through the middle.”
“Watching his interviews on the telly from Celtic’s winter training camp in Dubai, Oliver clearly appears to be happy at joining my former club, and the chance to work under Brendan Rodgers has appealed to him,” added Dalglish.
“These are major plus points before a ball has even been kicked. But he now has to turn that optimism into something tangible. He is at a crossroads, and he needs this move to work out for him. This is a vital stage of his career.”
Burke is only 21 years of age, and there is no doubt that he has a bright future ahead of him.
However, the youngster has struggled to play regularly since he left Forest for RB Leipzig, and it is time that he starts playing competitive football on a consistent basis.
Celtic play attacking football under manager Brendan Rodgers, and the 21-year-old Scotland international could flourish at Celtic Park.