The winger, 22, is on a roll after playing a huge part in getting England to next summer's World Cup - with his contribution including a goal in last Friday's 4-1 win over Montenegro at Wembley.
But Lambert said: "Will we be putting any special attention on him? No.
"You can't jump on the bandwagon. It's only two games. Gareth Bale did it over a number of years - that's too much pressure to put on players.
"If someone plays two good games they are a world beater but Tottenham have an array of players.
"I've not seen much of the lad but when I have he has played well.
"Their whole team is strong, a lot of them will be buoyant, the Belgian lads have qualified too.
"It is not just one lad you will be focused on."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball