The 25-year-old hit the 40-goal barrier for the Hoops last season as Celtic - then under Ronny Deila, now under Brendan Rodgers - won the Scottish Premiership for a fifth successive year.
Competition for the former Wolves man is limited, though, and Boyd, who spent 11 years with Celtic, says that a striking rival could see the Scottish hitman raise his level even further.
“It’s not that Leigh needs assistance because he was outstanding last year, being Player of the Year, scoring 40 goals and taking the burden on himself," he said to the Glasgow Evening Times.
“He [Leigh] produced, but it would help the squad if there was someone there who could maybe push him on to 50 goals next year if he does have competition. We will wait and see."
Boyd is right. If Griffiths can score up to 40 times unchallenged, what is he capable of if and when Rodgers introduces some competition for the number nine shirt.
On the flip side, fierce competition requires a great deal of mental strength, constantly having to prove yourself week after week in order to keep your rival out of the side and it might have a negative effect on the marksman.