Having lost top marksman Gary Hooper to Norwich City over the summer, the Bhoys have been left short of firepower.
Additions have been made to try and fill the attacking void, but none have convinced as yet.
As a result, Lennon admits he is planning on dipping back into the transfer market in January.
He believes shopping local may be the best option, with it important to acquire players who can hit the ground running.
Lennon told the Sunday Mail: "There's no question we need a replacement for Hooper. I need quality at the top end of the pitch. It really does make a difference.
"That's not taking anything away from the players here. But, to improve, I need to find someone who will be really consistent at all levels and score goals."
He added: "We're looking at players in Scotland. Dundee United have some very good young players and there are a few others floating around.
"The players know the environment so maybe we'll look at British types rather than always looking abroad. British types might suit us better.
"January will be a crucial month in terms of next season and trying to get into the Champions League. We need to try to get the right players in and ready for July.
"I'm not talking about just one player - I might be talking about two or three areas. Players also like to see good players coming in. It gives them a lift.
"The money is there - we may just need to force the issue a little bit more. A striker is one I'd like to add and maybe a creative midfield player, a No.10 type."