'Terminator 3' Star's Wife: I'm Worried My Hubby Will Be On Drugs Around Our Kid

"Terminator 3" star Nick Stahl's wife is tightening the reigns on her estranged husband -- asking a judge to limit his visitation rights with their daughter to 8 hours per week ... with proof he hasn't used drugs in the 24 hours beforehand.

Nick's wife Roseann filed the docs in L.A. County Superior Court, claiming she no longer lives with Nick as of last month -- and things must have ended badly ... because she now wants Nick limited to a mere 8 hours a week of "monitored visitation" with their daughter.

According to the docs, Roseann is willing to let Nick see their 2-year-old only while under the supervision of a professional visitation monitor ... "without Nicolas having used drugs in the past 24 hours."

Roseann is serious too -- claiming she wants "proof of a negative result for a test for drugs and alcohol within the 24 hours prior to his scheduled visitation time."

Roseann says she also wants child support because she has no job. According to Roseann, Nick raked in approximately $500,000 in the last year. A rep for Nick had no comment.