The former Celtic defender believes Leigh Griffiths needs assistance and competition up front next term.
The Bhoys won a fifth league title in a row last season, success which was built on the goals of top scorer Leigh Griffiths, who enjoyed easily the most successful individual campaign of his career by scoring 40 goals in 51 appearances in all competitions.
However, aside from Griffiths' prolific strike rate, Celtic's next top scorer last term was Kris Commons with 10 strikes, and the club's other attackers Nadir Ciftci, Colin Kazim-Richards, Carlton Cole, and 16-year-old talent Jack Aitchison netted just eight between them.
Ciftci was loaned out midway through last season and Kazim-Richards has recently left the club, and Griffith's position as centre-forward is currently unchallenged.
Boyd does not believe this can be a good thing for the club, particularly with the increased challenge next season will pose with the return of Rangers, and he urged Rodgers to make bringing in another striker a key priority for this summer's transfer window.
Boyd told STV: "We've got a great striker, I think we just need others to join. We've lost a few in that department. It is a position that probably needs assistance.
"You can't say that it needs strengthening because there's somebody who scores 40 goals a season there. He doesn't need competition because he didn't have much of that last season.
"Leigh was outstanding last season and rightly got the player of the year but I think that's a key position for Brendan to look at. We're probably a little bit short in that department so we could get somebody in to help and assist if anything was to happen to him."
As Boyd alluded to, as things stand a Celtic fan's worst nightmare would be a serious injury to Griffiths, as it would leave the Hoops desperately short up front.
Rodgers has already been linked with swoops for free agent strikers Steven Fletcher and Danny Graham, although it was reported earlier this week that he has turned down the opportunity to sign his former Swansea City star Graham.