Sean Dyche’s side were promoted in April after finishing second in the Championship and will kick off the new campaign with a home game against Chelsea on Saturday 16 August.
Akinbiyi was a part of the last Burnley squad to win promotion to the top flight, but unlike in 2009, he believes they are much better equipped this time around thanks to the talents of the England Under-21s striker.
"I think he's a top player, probably one of the best players that Burnley have had as a striker," said Akinbiyi.
"He seems to score a goal every time he's on the pitch and I think he'll do the same in the Premier League because he is one of these players who gets one chance and tucks it away."
The former Wolves, Leicester, Stoke City and Sheffield United striker, who had two stints as a player in East Lancashire, has already witnessed one former Burnley striker flourish in the Premier League and break into the England side.
During his time at Turf Moor, Akinbiyi mentored Jay Rodriguez during the fledgling stages of the Southampton star's career and he believes that Ings has the talent to follow him into the senior national team.
Speaking as an ambassador for Prostate Cancer UK, Akinbiyi said: "Jay's a totally different type of player from Ings.
"Ings is an in-the-box player whereas Jay can play on the left and on the right. Ings is just more of a striker who gets goals, but he creates them as well.
"He is a player that I do think will do really well in the Premier League. If he can do what he did in the Championship I think then you are looking at the [senior] international level."