Mueller was arrested last weekend in Aspen on charges of possession of cocaine with intent to supply.
But the former Two And A Half Men star says he does not believe Mueller would have been trying to sell the drug - because he gives her all the cash she needs in child support.
Sheen - who pays her $55,000 per month - told TMZ.com, 'With the child support I give her... she's gonna deal drugs? Never gonna happen.'
The 46-year-old actor also laid into Aspen police who arrested Mueller, adding, 'The cops in Aspen are Keystone on their finest day... these are the clowns that let Ted Bundy go.'
Mueller has vowed to 'vigorously defend' the cocaine possession allegations and denies all the charges.
The 34-year-old was arrested in Aspen on Saturday and booked for a felony cocaine possession with the intention to distribute and for a third degree misdemeanour assault charge.
But her rep told Us Weekly that she has since been released on an $11,000 bond and is back at home after arriving back to LA on Monday.
She is with her two-year-old twin sons Bob and Max from her marriage to Sheen, ahead of her court date on December 19.
'Brooke is back home in Los Angeles spending quiet time with her children,' said her spokesman.
'Her lawyer will vigorously defend Brooke with the goal of having all charges dropped once the facts of the case come to light.
'Contrary to reports in the media, there will be no changes in the custody arrangement.The children are remaining with Brooke.
'Both Charlie and Brooke's mother have offered to support Brooke in any way they can.'