The recently proposed extended inflation scenario is examined. Upper bounds on the Brans-Dicke parameter $\omega$ are obtained by requiring that the recovery from the supercooled regime be such that the presently observed Universe could have emerged. These bounds are well below the present-day experimental limits, implying that one must use models which have a potential to fix the present value of the Brans-Dicke-like scalar field. The implications for extended inflation in such models are discussed.

• Received 14 June 1989

DOI:https://doi.org/10.1103/PhysRevD.40.3950