Dallaglio is even backing Cipriani to become a better player once the lengthy and painful rehabilitation is completed.
"He will be fine and I will give him all the support and help he needs," the Wasps captain said.
"I know what it's like to suffer this kind of injury and mentally and physically what's required to get back to playing.
"Danny will come back a stronger person and player because of what's happened."
Meanwhile, Wasps and England wing Tom Voyce has had his dislocated shoulder relocated in hospital following a heavy tackle and has yet to learn how long he will be out of rugby.
A Wasps statement today read: "Following injuries sustained during the semi-final against Bath, Danny Cipriani and Tom Voyce were admitted to the Lister Hospital in London last night.
"Cipriani underwent surgery [open reduction and internal fixation] for a fracture dislocation of his right ankle. He will remain under observation in hospital for the next couple of days.
"He will start intensive rehabilitation immediately. It is expected he will take approximately six months to return to full fitness.
"Tom Voyce received treatment to relocate his dislocated left shoulder. He is in a comfortable condition and will be discharged from hospital later today. He will undergo an MRI scan and further review with a specialist shoulder consultant. Further information and a time scale regarding Voyce's return to fitness will be issued later this week."
Prav Mathema, the club's head physiotherapist, said: "I would like to thank everyone who treated the two players yesterday."
