Here is the response Msgr. Camille Perl apparently gave to this question:
The Motu Proprio Summorum Pontificum, just as the Motu Proprio Ecclesia Dei, presupposes that any deacons, transitional or permanent, may function as deacons in the Mass according to the 1962 Roman Missal, provided, of course, that they are familiar with the rites and can function with sufficient ease.