The Scottish Premiership leaders will have a new manager next season.
The Hoops' current boss Ronny Deila will step down at the end of the season, and with several high-profile names being linked with the post, it must surely be difficult for the squad to have any idea who will be taking over next term.
And McGregor admitted that the side is now under pressure during the final weeks of the campaign to impress the new man, whoever that may be.
"There's apprehension about who's going to come in. Ultimately we have to win the league, first and foremost," he told the Daily Record.
"But now you're playing for places for next year as well, you'll have to put some performances in.
"Someone will be watching so as much as we need to win five games, everyone will have it in the back of their mind that there will be a new manager coming in to impress."
The 22-year-old is perhaps under more pressure than many in the squad. The midfielder was handed his Hoops debut by Deila, so he may be concerned that the new manager will not have the same faith in him, especially with the squad boasting so much depth in that area of the field.
With the likes of Kris Commons and Gary Mackay-Steven both struggling to hold down a regular place in the starting line-up this season - while the new manager could also look to make further signings in that area of the pitch - McGregor will be looking at the next five games as his chance to stake a claim to be in the next boss' plans for next season.