STRBeth,
this depends on the amount of load you have to resist. I would avoid feeling comfortable with compressing the gap since this adds to pdelta effect.
1) First check if footing can resist by sliding friction
2) Second check if sliding friction combined with passive on one face and side vertical side friction on two perpendicular faces (trapezoidal dist based on depth).
3) If you still need more capacity, then consider increasing the depth or dimensions of the footing. You could even add a small key beneath the footing like a retaining wall to increase passive.
4) Need more capacity, then add a grade beam connecting to other footings to activate their resistance. This grade beam could be cast into the side of the footing, top of footing, or even poured to be integrally connected to sog.
5) Alternatively, Detail the slab on grade with downturned edges that attach to the top of the footing. This of course will assume that settlement of the footing will be minimal and the sog is "flexible" enough. Treat slab as a diaphram or as a way to transfer load to other footings (like grade beam concept).
6) Need more, geez...ok...so a calc exercise...ok if footing has grade beams on all four sides (or 3 if an edge condition) then use the side friction on the grade beams parallel to the direction of force and then add the passive resistance against the grade beams perpendicular to the footing. ie. Use an effective width of grade beam to add passive resistance to the total footing passive resistance.
7) Need more, ok ok...now you are in pile territory