De Bruyne suffered knee and ankle ligament damage in the second leg of City's League Cup semi-final against Everton on January 27.
Expected to be out for eight to 10 weeks, the loss of the attacking midfielder is a blow to quadruple-chasing City, who face Liverpool in the League Cup final on February 28 and remain in contention in the Premier League, FA Cup and Champions League.
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"Concerning Kevin De Bruyne, his comeback is planned for April 15th," national team coach Wilmots told RMC .
"It will be two months before Euro  so there will be no problem, [but] it will be a big job of recovery."
Belgium, who sit top of the Fifa world rankings, are among the favourites to win the tournament.