Dadi joined the Reds from Tranmere earlier in the season but has failed to make an impact at the City Ground and faces little prospect of first-team action in the future.
Notts boss Gudjon Thordarson wants the 32-year-old on loan for the rest of the season and said: "Eugene is a powerful lad with good experience and is a player who can do the job we are after.
"But I am not going to wait longer than this week because I need players in before Saturday."