Waldrom, a member of England's initial 45-man Rugby World Cup training squad, will fly to New Zealand on Monday night.
Easter is still receiving treatment for a back injury, which forced him to miss England's 41-10 victory over Georgia on Sunday.
Waldrom is not an official replacement for prop Andrew Sheridan, who suffered a tournament-ending shoulder injury in England's 13-9 victory over Argentina.
England are yet to call up a replacement for Sheridan.
England manager Martin Johnson said: "Nick Easter is still suffering from a sore back so we will be bringing Thomas out as temporary cover.
"We've obviously spoken to Leicester and Thomas will be flying later today."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.