McBurnie, 17, has started the season in sensational form for the club's youth team after netting 17 goals already in just ten league and cup games.
Despite still playing for the youth team, the talented forward is actually a member of the club's professional ranks after penning a three year-deal back in late August.
The pro deal capped off an amazing month or so for the youngster after he helped Manchester United to win the Milk Cup youth tournament in Northern Ireland over the summer while on work experience with the Red Devils.
McBurnie finished joint top-scorer for the tournament, with one of his goals proving to be the winner in the final.
The striker has also been involved in a training camp with the Scotland Under 19s earlier this season.
McBurnie hasn't featured on the bench for a City first team fixture as of yet but, with fellow forwards Alan Connell and Andy Gray having been told that they are free to look elsewhere, that could change for McBurnie in the coming weeks and months.
Parkinson said: "Ollie McBurnie was with us in the squad for Saturday at Crewe.
"To get 17 goals for the youth team already - I have to start looking at trying to get him involved with the first team squad and get him training with us on a more regular basis.
"That is the way to progress him. I feel he is a good prospect for us.
"We have players in the squad who haven't been playing for a while and it is probably best for them to move on to get some first team football elsewhere.
"As a manager, you have to keep evolving the squad and keep moving forward, and that is what we are trying to do."