Brown also noted continued strength in shares of Tesla and Starbucks.
TheStreet's CIO, Stephanie Link, said that she saw another reason to remain bullish.
"I'm impressed with earnings," she said, noting positive numbers from the likes of Johnson Controls, Ford, National Oilwell Varco, Schlumberger and Halliburton.
"There's a lot of things you can actually buy if you we do get a pullback," she said. "I'm pretty encouraged by the resiliency in these high-flying growth stocks."
Rosecliff Capital's Mike Murphy also cited Starbucks as well as Facebook as two strong stocks that could have further to run.
"The quarters are good enough to support the recent moves in the stocks, so as long as they continue, I think this market is going to continue to move higher," he said.
—By CNBC's Bruno J. Navarro. Follow him on Twitter @Bruno_J_Navarro.
Trader disclosure: On Oct. 31, 2013, the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Fast Money" were owned by the "Fast Money" traders: Joe Terranova is long VRTS; Josh Brown is long AAPL; Josh Brown is long SBUX; Stephanie Link is long AAPL; Stephanie Link is long GS; Stephanie Link is long JPM; Stephanie Link is long WFC; Stephanie Link is long MS; Stephanie Link is long FB; Michael Murphy is long AAPL; Michael Murphy is long BAC; Michael Murphy is long C; Michael Murphy is long FB.