The defender had caught the attention of the 2012 Champions League winner, but has seemingly opted against a move to Europe.
Reports from the UK on Wednesday suggest that Chelsea sees the 24-year-old as the ideal replacement for John Terry and was willing to spend over 20 million euros on the defender, while Milan and Liverpool are closely monitoring his situation, too.
However, Dede looks set to remain in Brazil for the foreseeable future, with Cruzeiro confident of landing the sought-after defender.
The Raposa, with the support of investment company DIS, are reportedly paying 5.5 million euros for 45 percent of the player's economical rights
"The situation with the player's economical rights is not something that can stop or slow down the transfer. The agreement between the clubs is there," Cruzeiro lawyer Carlos Portinho told Lance.
Cruzeiro is expected to announce the transfer once Dede has successfully completed his medical later this week.