Hincapie has been recovering from a broken metatarsal and is expected to return to full fitness by the end of August.
However, it is now unclear whether he will be at Leverkusen by the time the transfer window closes on 1st September.
West Ham have long been keeping tabs on him and they have not ended contact with his representatives over a potential transfer, with technical director Tim Steidten a big fan.
But there is more Premier League interest in the Ecuador centre-back and, according to German outlet Fussball Transfers, Liverpool are also interested in him.
Jurgen Klopp wants to sign a left-footed centre-back before the transfer window closes in two weeks’ time and Hincapie has admirers at Anfield.
The Leverkusen defender is one of the players the Reds are considering getting their hands on in the coming days.
They want a left-footed centre-back and looked at Micky van de Ven, who has now joined Tottenham Hotspur.
Leverkusen are expected to receive offers for the centre-back towards the final days of the transfer window, with other Premier League sides having asked for information about him.