The 21-year-old has been tracked by Arsenal, Liverpool and Everton along with Borussia Dortmund who are claimed to have made an enquiry this week according to a report in the Daily Mail.
The Swiss international, has scored 16 goals in 28 games this season and is seen as one of the Bundesliga’s brightest talents.
And Allardyce – desperate to bring fresh blood into his squad – is interested as although the player is valued at £8million he is believed to have a £4.5 million buy out clause.
Former Germany captain Lothar Matthaus said earlier this week the player was house hunting in London and that he was Arsenal-bound this summer.
But Drmic insisted: ‘At the moment I am single and there is no one house hunting in London.’