sleep a wink, not
Not sleep at all, as in I couldn't sleep a wink last night. This expression, in which wink alludes to closing the eyes for sleep, was first recorded about 1325.
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.