Jurgen Klopp coy over Liverpool interest in Celtic target Ben Davies
But widespread reports claim the English champions have made a shock move to sign the centre-back ahead of Monday night's deadline.
With Christopher Jullien out for several months and Shane Duffy again looking vulnerable during Saturday's 2-1 home defeat by St Mirren, Lennon is looking to strengthen his central defence.
Speaking after his side's 3-1 win at West Ham in the Premier League, Klopp refused to say whether Liverpool were interested in signing Davies, but said his side are looking for a centre-half before Monday's deadline.
"We said our eyes are always open and if we can fix our problem then we will," he said.