"Sam Allardyce has also been interviewed for the job but I understand he is likely to miss out in favour of Ince."
Six candidates have been interviewed to succeed Hughes, who left Rovers for Manchester City on 5 June, with Ince, McClaren, ex-Denmark international Laudrup, and former Bolton and Newcastle manager Allardyce regarded as the leading candidates.
McClaren has been out of work since he was sacked by England in November after they failed to qualify for Euro 2008 and he told Radio 5 Live on 7 June that he would be interested in the Blackburn job.
But on Friday McClaren took over as Dutch side FC Twente.
Laudrup is reported in the Danish media to have been interviewed for the role.
Ince has had an impressive season with Milton Keynes Dons after moving from Macclesfield in June last year.
The 40-year-old former West Ham, Manchester United, Inter Milan and Liverpool midfielder led the Dons to the League Two title as well as the Football League Trophy in his first season with the club.
His achievements attracted the interest of Leicester City, who made an official approach to Milton Keynes for Ince's services earlier this month.
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