"I know pretty well who he is, so it doesn’t bother me at all."
Outside groups are using the recess to battle over the Supreme Court.
Conner Eldridge released a campaign ad tying Trump to rival Sen. John Boozman (R-Ark.).
Cruz said media are "desperate" to see Trump win the GOP nomination.
Devin Henry 05/02/16 02:26 PM EDT
Clinton is campaigning in Kentucky and West Virginia on Monday.
"He should be focused on the general election," Rove said of Trump.
"With all respect, Donald Trump is deceiving you, playing you for a chump," Cruz said.
"Our ideas ... are the ideas for the future of this country."
Less than 1 percent of the $61 million raised went to state parties.
Strickland will take on GOP Sen. Rob Portman in November.