The defender had to be taken off after just 25 minutes of the Hoops' Scottish Cup semi-final and missed the draw with Ross County.
The centre-back had to be withdrawn after just 25 minutes of the Bhoys' Scottish Cup semi-final defeat to Rangers because of the injury, and subsequently missed the draw with Ross County in the Scottish Premiership on Sunday.
And The Scottish Sun is now suggesting that he will miss the Hoops' last four games of the campaign due to the problem, which may prove to be a blow to the 25-year-old's chances of making the Belgium squad for Euro 2016.
With Jozo Simunovic also sidelined for the rest of the season, Deila will be grateful that Celtic have virtually wrapped up the league title.
The side lead Aberdeen by nine points at the top of the table, and could confirm their fifth league crown in a row as early as next weekend.
Had the race been closer at this stage of the season, Boyata's injury could have had much more concerning implications. While Charlie Mulgrew and Erik Sviatchenko have done well at the heart of the club's defence, the likes of Efe Ambrose and Tyler Blackett have looked a lot less convincing so another injury in that area of the field could have left the door open for Derek McInnes' side just slightly.