Club Leon have filed an additional appeal against the decision by the Fifa secretary general to be reinstated in the competition.
Cas said the appeals will be expedited and heard during the week beginning Monday, 5 May.
On Monday, Fifa said it was considering a one-off play-off match between LAFC and Mexican side Club America for the right to replace Club Leon in the tournament.
Cas proceedings are ongoing for a separate appeal by Costa Rican side Asociacion Liga Deportiva Alajuelense (LDA), who say one or both of Club Leon and Pachuca should be removed.
LDA requests that they are admitted to the competition as the next eligible club. That case will be heard in Madrid on 23 April.
Club Leon were drawn in a group with Chelsea, ES Tunis and Flamengo.
The Club World Cup will begin on 14 June with the final to be played on 13 July in New Jersey.
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exeter.one newsbite last confirmed 1 day ago by a BBC Reporter
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