Morrison has enjoyed a breakthrough start to the campaign for the Hammers, underlining his potential with a fine goal in last weekend's 3-0 win over Tottenham Hotspur at White Hart Lane.
Noble revealed that Hammers boss Sam Allardyce has marked the youngster out for special treatment since pre-season, helping him find the consistency to command a starting place in East London.
He told The Mirror: "He deserves all the credit he is getting at the minute. There has been a lot of hype about him in the last few years and is he going to fulfil that potential?
"At the minute he is because he is working hard and his discipline is right. There are a lot of senior players at this club and I know I am on him to do things right.
"The skipper [Kevin Nolan] is and the gaffer has sort of taken him under his wing, and he is becoming a man now and deserves his place in the team."
The 20-year-old's form has earned him a call-up by England Under-21 boss Gareth Southgate this week, for qualifiers against San Marino and Lithuania.