The 24-year-old Liverpool defender has missed the start of the Premier League season after undergoing back surgery last month.
However, he has made good progress and is closing in on a return to action.
Today's Premier League clash with Hull at Anfield will come too soon for the Dane but he could pull on a red shirt on Tuesday night - either in the Champions League clash away to Fiorentina or for the reserves at Manchester City.
Boss Rafa Benitez said: 'Daniel is training really well and improving.
'He has a specific programme with weights to strengthen his back. He is doing well and progressing but the main thing for him now is match fitness.
'We have to be careful with him and we have been talking with the doctor and the fitness coach Paco (De Miguel).
'We are hoping he could be back playing next week. When and where we still have to decide but we have the match against Fiorentina and also the reserves game on the same night.
'It will be very positive to have Daniel back.'
Benitez has been handed another fitness boost with the news that Alberto Aquilani has stepped up his rehabilitation following an ankle injury.
The £20million signing has started running but the manager is refusing to put a date on a possible debut.