Cisse and Dawkins will spend this week training with Derby as new manager Steve McClaren explores options to improve his squad.
Mali international Cisse previously spent three years with Reading and a further two seasons at Bristol City before most recently playing for the New England Revolution.
The 29-year-old left the Major League Soccer club in August and was tipped to return to English football.
He has been linked with the likes of Charlton, Middlesbrough, Millwall and Watford, but is now aiming to impress Derby boss McClaren.
The former England coach is also checking on Dawkins, who has yet to make an impact at White Hart Lane after making just one senior appearance for Spurs.
Dawkins, 25, featured four times as a substitute for Aston Villa in the Premier League in the second half of last season and has previously had spells at Leyton Orient and the San Jose Earthquakes.