LONDON, June 25 (Reuters) - Talks with Northern Ireland's Democratic Unionist Party on a deal to prop up Britain's minority government in parliament are "progressing in the right way", the international development secretary, Priti Patel, said on Sunday.

Prime Minister Theresa May's Conservatives hope to secure the support of the DUP to pass legislation after the party lost its parliamentary majority in an election earlier this month.

"From what I understand with the DUP, the talks are ongoing and they are progressing in the right way as well, so that deal will come to the conclusion at the right time," Patel told ITV's Peston on Sunday show. "I think the reality is that we have key votes coming forward in the next week on the Queen's Speech and we'll work with the DUP obviously to ensure that they give us that support." (Reporting by Elizabeth Piper; editing by Mark Heinrich)