Let T, T′ be weak contractions (in the sense of Sz.-Nagy and Foia¸s), m, m′ the minimal functions of their C0 parts and let d be the greatest common inner divisor of m, m′ . It is proved that the space I(T, T′ ) of all operators intertwining T, T′ is reflexive if and only if the model operator S(d) is reflexive. Here S(d) means the compression of the unilateral shift onto the space H 2 ⊖dH2 . In particular, in finite-dimensional spaces the space I(T, T′ ) is reflexive if and only if all roots of the greatest common divisor of minimal polynomials of T, T′ are simple. The paper is concluded by an example showing that quasisimilarity does not preserve hyperreflexivity of I(T, T′ ).