The 43-year-old, who is unemployed since his departure from AFC Bournemouth in 2020, received significant interest from several clubs.
The English coach is Celtic's preferred choice as they aim to appoint Neil Lennon’s replacement as soon as possible.
However, his representative has toldSky Sports
he plans to not return to football management until the summer at the earliest.
"Talks of any deal being close are extremely premature," explained Howe's representative.
"His plan remains to not return to management until the summer at the earliest."
With John Kennedy named interim manager in the meantime since Lennon left the club in February, The Hoops have been linked with a number of high-profile candidates for the manager position.
Eddie Howe himself told Monday Night Football in November:
"I wanted to be at home with my family, I wanted to see my kids grow up.
"I wanted to learn and develop my knowledge and abilities as a manager, and then if I decide down the line to get back in, or I am lucky enough to be given an opportunity, then I'll do that.
"For me, I don't want to get back in just for the sake of it, it would have to be something that really motivated me."