The striker has endured a difficult few months at Stamford Bridge after having struggled with a back injury and also failing to hold down a regular spot in the first team.
Morata returned to scoring ways on Sunday when he netted the opening goal in Chelsea FC’s 2-1 victory over Leicester City in the FA Cup quarter-finals.
The 25-year-old will now be hoping to hold down a regular spot in the first team between now and the end of the season as he bids to win a place in the Spain squad for the World Cup.
Morata has been omitted from the Spanish squad for their forthcoming international friendly clashes, but Alonso seems to feel that the striker will enjoy a strong end to the campaign.
Speaking at a news conference on Tuesday, Alonso said: “He is a very important player for us.
“I hope he will do well from here until the end of the season and he gets to go to the World Cup.”
Chelsea FC will return to Premier League action after the international break when they take on Tottenham Hotspur in a crunch top-four showdown at Stamford Bridge.
The Blues are currently fifth as they bid to break back into the top four before the season is out.
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