Paul, unlike the other former GOP presidential candidates, has not officially released the delegates he won during the primaries. He did not win enough delegates to challenge Mitt Romney's nomination, but many of his supporters interpreted the prospective rule change as an attempt to bar a future grassroots challenge on the convention floor.
Rand Paul said he appreciated his father's supporters attempt to recognize Ron Paul on the floor, but called the relationship between Ron Paul and the Republican party "a mixed bag."
"Many things, the Romney campaign has been very conciliatory on," he said. "We worked with them on the [official party] platform."
The party platform, ratified earlier in the day, includes an affirmation of Paul's hard-fought argument to audit the Federal Reserve.
"It could have always been better," Paul acknowledged. Ron Paul does not have a speaking slot at the convention, but Rand Paul will speak on Wednesday.
Ron Paul turned down an offer to speak because convention organizers wanted to vet his speech beforehand and he is still not ready to endorse Romney.
His son noted that Ron Paul "got to speak for an entire hour and he got to say whatever he wanted to say" at his own rally in Tampa on Sunday.
Rand Paul said "it's not about the speech here," it's about whether the Republican Party will embrace people like Ron Paul, who are willing to question defense spending and can potentially reach electoral votes in states the party has largely abandoned.
Rand Paul, who has endorsed Romney, said he did so because Romney is "way better" than President Obama.
"I don't think our country survives another four years," he said. "I'm not talking really apocalyptic terms, but ... it's getting worse."