Diego Costa has passed his medical and is poised to complete his £32 million move to Chelsea from Atletico Madrid, according to the Guardian.
The Atletico Madrid striker was also linked with a move to Arsenal as Arsene Wenger was looking to shore up his frontline with Giroud being the only recognised striker for the Gunners.
The 25-year-old forward, who had a standout season in Spain, has been earmarked by Mourinho to spearhead Chelsea's title challenge next season.
Of the 71 goals Chelsea scored in this season's Premier League, only 19 were scored by their three strikers. Despite that, the Blues only finished four points off eventual winners Manchester City.
This prompted Mourinho to go for the ruthless Costa who finished with 27 goals in 35 games for the La Liga Champions. Costa, who has impressed Chelsea all season, was on hand to score at Stamford Bridge to knock them out of the Champions League as well.
The Blues have bought out the release clause in the Spanish international's contract and will look to complete the deal by the end of this week. "We have to try to win as a team, to improve as a team, but also add the attacking player with that killer instinct," Mourinho said last month.
Former Blues player Juan Mata feels Costa will thrive in the Premier league. "I wish him the best," Mata told Goal.com. "He is a forward who is very well suited to English football because of his power and strength. He is the type of player that thrives there, but at the moment he is still an Atletico player."
Los Rojiblancos, who were expecting wealthier clubs to come for their players, have already stepped up their efforts to find replacements for the coming season.
They have already signed teenage striker Angel Correa dubbed the 'new Kun Aguero' from Argentina's San Lorenzo.
"Our club has reached agreement with San Lorenzo on the transfer of the young Argentine talent," Atletico was quoted in the Guardian.
"The young footballer is known for his speed, talent and ability, which have made him one of the attacking reference points for his team, for whom he has scored eight goals this season," the Spanish champions concluded.