West Ham, alongside West Brom and Brentford, are attempting to sign the striker the 22-year-old striker this week.
The striker netted a goal away at PSV Eindhoven as the Swiss side beat the Dutch giants on goal difference to progress further in the Champions League.
With Basel in with a chance of playing in the Champions League group stage, it seems increasingly unlikely that Ajeti will take a decision to leave before Thursday’s transfer deadline.
Champions League group stage football would also give Basel a massive financial boost way beyond the transfer fee they could receive.
Basel are due to face Lask in the first leg of the third qualifying round tomorrow night at 7 pm local time so it will be interesting to see if the striker is in the starting lineup.