The Dutchman is reportedly on the verge of sealing a move to Parkhead.
Dorus De Vries
The Scottish Sun reports that the Dutchman is on the verge of being reunited with Brendan Rodgers, and Burchill - who played alongside the 35-year-old at Dunfermline a decade ago before the latter joined Swansea, where he would go on to play under Rodgers - does not expect the veteran to spend much of his time sitting on the bench.
Craig Gordon has been Celtic's number one in recent seasons
"As they have worked together before it would look like to me that big Dorus will play, Rodgers knows him well," he told The Scottish Sun.
"I agree Gordon is a top keeper as well, but if I was a betting man I'd say Dorus will play eventually.
"Celtic fans should be happy regardless, another top signing to push what is already there."
Celtic manager Brendan Rodgers
It would perhaps be somewhat unfair for Rodgers to permanently replace Gordon as the side's number one. Though his mistake that led to Astana's goal in the first-leg of their Champions League third qualifying round tie suggests that he could possibly be out of form, his record since returning to professional football has been impressive.
Despite having an unreliable defence in front of him, he still only had to pick the ball out of the net on 31 occasions in the Scottish Premiership last term.
However, Rodgers may feel that the 33-year-old should take some of the blame for the fact that that figure was nearly double the amount they conceded the previous campaign when they only let in 17 strikes throughout the season.
And with de Vries being a player he knows well, and one who the Nottingham Forest supporters voted as their player of the season last term, Rodgers - like Burchill - may feel that it is time to make a change between the sticks.