AtD translation: keep still for it

[Mike Jing]

P645.29-35   “This used to be—” she began. He smiled sourly and nodded her
to go on ahead. “It was your brother’s old stomping grounds here, El Paso.
One of ’em. He drifted around the sanatoriums posing as a rich-kid lung
case from back east, workin ’em dayrooms like ridin a circuit. Though he
never did get the accent right. When he could find a nurse who’d keep still
for it, he’d get her to check him in, maybe even split the proceeds,
which’d often as not turn out considerable.

What does "keep still for it" mean here? Does it mean "keep silent about
it"?