A standard approximation in theories of quark bags coupled to a pion field is to treat the pion as an elementary field ignoring its substructure and finite size. A difficulty associated with these treatments is the lack of stability of the quark bag due to the rapid increase of the pion pressure on the bag as the bag size diminishes. We investigate the effects of the finite size of the qq pion on the pion quark bag coupling by means of a simple nonlocal pion quark interaction. With this amendment the pion pressure on the bag vanishes if the bag size goes to zero. No stability problems are encountered in this description. Furthermore, for extended pions, no longer a maximum is set to the bag parameter B. Therefore "little bag" solutions may be found provided that B is large enough. We also discuss the possibility of a second minimum in the bag energy function.