But, as Dana Carvey might say, "Not gonna happen."
Norquist may have had good reason to believe Bush would sign the Taxpayers Protection Pledge, where candidates vow to oppose "any and all efforts to increase taxes." After all, the vast majority of Republican candidates for national office and many for local and statewide office have been signing it ever since Norquist started Americans for Tax Reform in 1985.
"If Governor Bush decides to move forward, he will not sign any pledges circulated by lobbying groups," Campbell told ABC News.
Norquist was quick to reply to that via Twitter.
Campbell says what is more important than a pledge is Bush's record on taxes.
"He didn't raise taxes," Campbell said. "He cut them every year as governor for a total of more than $19 billion in tax relief. He does not support raising taxes and believes cutting taxes and reforming the tax code will lead to greater economic growth and more prosperity for Americans."
Norquist isn't buying it.
"Most pledge takers keep the pledge," Norquist said via Twitter. "Those who refuse to sign all raise taxes when pushed hard enough by spenders."
While Bush didn't sign the pledge as governor of Florida, he still earned high marks from Norquist for his record on taxes.
"I use him as the model when I talk to the other governors, to shame them," Norquist was quoted as saying in the St. Petersburg Times in 2003.
Watch ABC's full interview with Norquist: