Donald Trump Gets Measured Endorsement From Top Female House Republican

She says he must demonstrate "temperament for the job."

She also said she "won't be shy" about calling Trump out on future controversies because he "owes it to our party and our country to treat everyone respectfully and to build an inclusive coalition."

But Ryan, who forcefully condemned Trump on several occasions during the primary campaign, has yet to endorse the businessman's candidacy.

Trump's campaign and Ryan's office have been in close contact since the meeting last week, working to sync Trump's campaign with the House GOP's election-year agenda, which the conference hopes to release before the nominating convention in July.

The Trump campaign has also begun working with House GOP committee chairs on policy issues.