McConnell says priorities include tax overhaul, spending and other bills.
The Kentucky Republican released the statement Wednesday during a rocky period between the two leaders.
Trump has criticized McConnell for the Senate's rejection of the GOP push to repeal President Barack Obama's health law. He suggested McConnell might need to step aside as leader if he can't push top bills through the chamber.
People familiar with McConnell's thinking say he's privately expressed dismay over Trump's failure to clearly criticize Nazis after the violence in Charlottesville, Virginia, and for the president's criticism of fellow Republicans.