Those committees oversee the FCC. Republicans have resisted net neutrality legislation in the past, arguing it was a solution in search of a problem because there was no evidence Internet service providers were discriminating against content on their networks.
But congressional Republicans are concerned the FCC is planning to take aggressive steps to enact new net neutrality regulations.
Major broadband providers such as AT&T Inc., Comcast Corp. and Verizon Communications Inc. oppose that approach.
Wheeler plans to release his proposal on Feb. 5 in preparation for a commission vote three weeks later. An FCC spokeswoman did not immediately respond to a request for comment.
"By clearly outlining the appropriate rules of the road and leaving 20th-century utility regulation behind, we can be sure that innovators continue full throttle in bringing remarkable new technologies to all Americans," Upton said.
A key reason net neutrality advocates have pushed for the tougher approach is because federal courts twice have thrown out FCC rules, arguing the agency did not have authority to enact the regulations under another provision of the telecommunication law.
The new legislation would specifically grant the FCC that authority.