We show that the data for diffractive dijet production at the Tevatron p (p
) over bar collider are consistent with diffractive deep inelastic ep data
collected at HERA. The breakdown of factorization between the two data sets
is naturally explained by a strong tendency to populate the rapidity gap i
n the p (p) over bar diffractive process by secondaries from soft underlyin
g interactions and by bremsstrahlung associated with the presence of the ha
rd dijet subprocess. (C) 2001 Published by Elsevier Science B.V.