The women and equalities committee published its inquiry report in April, setting out recommendations to help improve outcomes in a range of policy areas,including health, education, hate crime and violence against women and girls.
However, the letter sent by the committeeto communities minister Lord Bourne states that "some of the response lacks focus and specific commitments, and we have asked the minister to report back to us in 12 months' time".
A statement from the committee describes the letter, signed by chair Maria Miller, as setting out its "concerns that several key recommendations have been ignored".
Miller says: "These issues are not new.
"Gypsy, Roma and Traveller people have some of the worst outcomes of any ethnic group - in health, education and employment - and they face high levels of discrimination and hate crime."