Kenya FA confirms in a signed statement that the changes arise because the Super Eagles will be representing Africa in the Fifa Confederations Cup during that period
Nigeria were crowned African champions on Sunday after edging out Burkina Fasso 1-0 in the final match of the Africa Cup of Nations.
Football Kenya Federation (FKF) confirmed on Tuesday that they have been informed by Fifa of a possible change in the return match whose first leg will be played on March 23 in Lagos.
According to the earlier dates, the return leg was to be played on June 10 but Fifa wants the match to be played at least two days earlier.
"The World Cup organising committee has requested Kenya to reschedule the return leg at least two days before the June 10 that means the match be played between 6th or 7th of June," said a statement from Kenya FA media committee.
Harambee Stars are scheduled to start residential training in two weeks time in preparation for the first leg match against Nigeria which will be the African Champions' first international assignment since winning the 2013 Africa Cup of Nations.
Kenya will be under a new coach who will be assisted by James Nandwa. Kenya FA President Sam Nyamweya has confirmed that three coaches have been shortlisted for the top job and the possible replacement for Frenchman Henri Michel, will be unveiled within the next few days.
"We are not going for a high profile coach this time round and the three have good track record for working with African teams. We must prepare well for the Nigeria clash and that is why we want to start early preparations and we have lined up a friendly match with either Congo Brazaville or Egypt early in March."