Henman retired from the tour this fall after 14 years to spend more time with his family.
Murray, a transplanted Scotsman, fired American Brad Gilbert as his coach, and had hoped Henman would be part of a new team of coaches, The Glasgow Herald reported Wednesday.
"If you are going to do something like that, there is a lot of travel involved and that's something I'm enjoying not doing anymore," Henman told the newspaper. "I am very much enjoying not having the structure in my life and having a very empty diary."
Henman won 11 titles during a career in which he posted a 496-274 record.
Despite a broken leg in the 2006 season, he was England's No. 2 behind Murray, and finished in the Top 40 for 11th consecutive year, the best among active players on ATP circuit at that time.