The Buddies are looking for their first win of the campaign when they face Queen of the South in the second round of the Scottish League Cup.
The holders lost 4-2 on the new artificial surface at Palmerston in a pre-season friendly and their away form in Scottish Premiership has seen them twice lose 3-0 in the Highlands.
But Lennon believes his side are not far off from producing winning displays despite their defeat against Ross County
Lennon said: "Obviously it was a disappointing result but not the overall performance. We are creating opportunities and we have got to convert these very good chances we are making.
"Likewise we need to to keep full concentration and not give goals away cheaply. That is something I'm confident is going to flip for us in the next few weeks.
"We are looking forward to this game, it gives us an opportunity to get back on the bike right away."
Queens are sweating on the fitness of defender Chris Higgins and striker Michael Paton after losing their first match of the season on Saturday when they went down 2-0 at Scottish Championship leaders Hamilton.
Manager Jim McIntyre said: "Facing the holders just a few days after losing is the perfect tonic as everyone is desperate to get going again.
"I may need to freshen the side up after a demanding run of games and I will wait see what options I have before deciding the team."