The Hoops had a bid for the 23-year old Scotland international rejected earlier this week and despite saying he would go again, Lennon has now slightly changed his tune on the matter.
"It may do but we will see what tomorrow and Friday brings,” Lennon said when asked if it means he may have to look at other targets.
"There is no further movement either way.
"The fee was rejected so whether we go back again is something we will have to consider over the next couple of days.
"I don't get involved in that (fee), Peter (Lawwell, chief executive) does that side of things but I will speak to him tomorrow and see where we go.
"We are looking at other options as well.
"I am not saying the deal is dead by any means but we do have other people in mind, not for that particular position but also for other positions."
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