COMBINING TWO PIECES

I'M TRYING TO COMBINE TWO PIECES. THE TWO HAVE DIFFERENT KEY SIGNATURES. THAT'S NOT THE PROBLEM AS I CAN WRITE A SHORT JOINING SEQUENCE. THE PROBLEM IS THAT THE FIRST PIECE HAS TO BE WITH A SWING BEAT AND THE SECOND DOESN'T. I HAVEN'T FIGURED OUT HOW TO NEGATE THE SWING INDICATION FOR THE SECOND PIECE. CAN THIS BE DONE AND HOW?