Surman impressed during a season-long loan spell at Dean Court during the last campaign, and after returning to the Canaries, Howe has hinted that he would be interested in bringing the 27-year-old back to the Championship club.
The 36-year-old told BBC Radio Solent: "Andrew Surman did very, very well for us. He is Norwich's player now so it is out of our hands what happens with his future. It is very much in the hands of his club and we respect that.
"We were very grateful to Norwich for giving him to us for a year and in the first place, so we will certainly see what happens with him. We value him very highly."
Surman made 39 appearances in all competitions last season.