The 20-year-old attacking midfielder, currently sidelined with a groin injury, has reportedly been the subject of interest from other clubs after forcing his way into the first-team picture at Upton Park this season.
Uddin hailed the England Under-21 international as an exceptional talent but insisted West Ham could face a fight to retain his services if he continues his recent progression.
"Looking at the depth of our squad another striker is probably necessary but look at players like Ravel Morrison this year," Uddin told skysports.com. "I think he's been unbelievable, I've watched him a few times at Upton Park and he's been special.
"I mean looking at the way our season has gone, that has to be the shining light.
"I hope we can keep hold of him and he can continue to play at the standard he's playing, but if he does, we'll have the big clubs at the end of season trying to take him off us."
Despite reaching the semi-final stage of the Capital One Cup, West Ham have struggled for league form, winning just once in their 12 last matches - a run which has seen them plummet to 19th in the table.
But Uddin remains confident that Sam Allardyce's men, who drew 3-3 at home to West Brom on Saturday, can overcome a number of injuries to key players and improve their league standing.
"At the moment we're suffering a little bit from luck," Uddin said. "If we had (Andy) Carroll fit, and (Stewart) Downing, (Matt) Jarvis and (Joe) Cole all remained fit, we'd be in a lot better place.
"We just need that rub of the green but if you look at the bottom of the league, there are quite a lot of clubs that are down there and finding it quite difficult.
"Fulham, Palace, Sunderland, Cardiff are all down there so it makes it exciting but I'd rather be a little bit higher in the table.
"But it is what it is and the gaffer and the club are doing the best they can with the players they've got.
"I know we can do it but it's about being positive. When things aren't going very well, it's easy to implode but West Ham will not do that.
"There's too much strength and character there. Allardyce has seen it all before and he's done it all before."