Floyd Mayweather’s BABYS MOTHER Josie wants to MAKE SURE that everyone in the world knows that she’s WITH the champ.

So she took some pics of Floyd IN HER BED . . . enjoying a POST-FREAKOUT NAP.

Josie is a FRIEND TO MTO . . . and so is MONEY MAY – so we’re not gonna say TOO MUCH on this. But one piece of advice to Josie – Mama, WE ALL already know that MISS JACKSON is a very UNDERSTANDING woman . . . so PLEASE don’t do ish like this again.