Spurs boss Andre Villas-Boas sparked controversy when he allowed Lloris to remain on the field after being knocked out in a collision with Romelu Lukaku during the goalless draw with Everton on November 3.
The 26-year-old subsequently sat out the Europa League win over Sheriff Tiraspol and Sunday's Barclays Premier League defeat to Newcastle, although Villas-Boas expects him to feature for his country.
And Deschamps said at a press conference reported by Radio Monte Carlo: "He is doing well, very well.
"He had a specific training programme on Wednesday, Thursday and Friday with Tottenham. The club and their coach, Andre Villas-Boas, took the decision not to let him play yesterday.
"Today, he will train separately with Franck Raviot because he was not with us yesterday. Tomorrow, he will participate normally in the session."
Lloris missed the Newcastle clash after failing to come through Immediate Post-Concussion Assessment and Cognitive Testing (ImPACT) - a computerised concussion evaluation system.
Villas-Boas said afterwards that: "Probably had the game been on Monday, he would have played."
And Deschamps agreed: "As his coach said, he would have been able to play today.
"There are no worries with Hugo. They did what they felt was right based on what happened to him a week ago."
It is positive news for Lloris and his club and country after ImPACT Applications spokesman Dr James Gyurke earlier said there is no way of knowing how long he would be sidelined.
"There is no hard and fast rule in how long a recovery can take," said Dr Gyurke.
"Everybody reacts to it differently. In a concussed state the recovery period should be viewed as occurring over several days to weeks, not a single day. There is no prescribed timeline for someone."
Gyurke explained the ImPACT System would have only formed part of a medical examination that led to Lloris being declared unfit and also suggested staying on at Everton was not the right decision.
"Getting up and carrying on with the game is not a wise thing to do if there is a suspicion the athlete has suffered a head injury," he told Press Association Sport.
"There is some data that suggests it is likely you are more susceptible to further mild traumatic brain injuries, though this is not definitive.
"ImPACT is not a diagnosis and does not provide a diagnosis. It is a tool. It is like the results obtained from an MRI scan.
"The test doesn't tell you to keep an athlete in a match or take them out but it is a piece of data the medical professional should use to form his or her clinical decision.
"When you're talking about an individual's level of impairment post injury, an athlete may under-report the severity of the symptoms he or she is feeling or experiencing in an effort to return to play.
"However, they generally can't distort their test performance, it is very accurate."
Source: PA
Source: PA