Optimism appears to be providing the momentum for stocks to head higher in the near term, StockMonster's Guy Adami said Monday.

"The market's now impervious to everything," he said, noting that the market was coming off a "very bullish week."

Stocks ended near session highs in choppy trading, with the and S&P 500 closing in positive territory for the fourth straight session as investors remained encouraged by signs of progress in the budget deal.

(Read more: Stocks finish higher on debt deal optimism; Russell 2000 hits all-time high)

On CNBC's "Fast Money," Adami said that stocks appeared to be poised to climb toward 1,725 to 1,730.

ExxonMobil appeared to have formed a double-bottom, he added, making it playable against $85.50 and $86 into its quarterly earnings report Oct. 31.

Adami also liked LinkedIn, saying, "That's another name that might be interesting to get into."

Karen Finerman of Metropolitan Capital Advisors said that she was sticking to stocks' underlying fundamentals.

(Read more: Hedge-fund manager gears up to short stocks again)

"It's scary, actually, to have to try to play how sane or insane our Congress is, so I kind of try to avoid the whole thing, knowing there's great volatility in the next few days," she said.

Dan Nathan of RiskReversal.com said that he expects stocks to trade on a less correlated basis into earnings as fund managers who have underperformed the market look to catch up in the year's final quarter.

"Some of the things that have been working all year—Whole Foods, Nike, Starbucks—some of these names, these growth names, that are kind of growth at reasonable price in a way, they never really got sold off that hard," he said.

Andy Busch of andrewbusch.com said that the S&P 500 will need to hold at 1,711, which "forms the right shoulder."

(Read more: Bears to get 'killed' in October: Josh Brown)

"If we don't hold that level and stay above there, I'm looking to short this," he said

Busch doesn't expect Congress to resolve its budget impasse by the date on which the U.S. Treasury will run out of cash.

"I think they'll fail on Oct. 17," he said. "Probably Oct. 22 is when they come up with something."

—By CNBC's Bruno J. Navarro. Follow him on Twitter @Bruno_J_Navarro.

Trader disclosure: On Oct. 14, 2013, the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Fast Money" were owned by the "Fast Money" traders: Dan Nathan: AAPL Long Nov Calls; TSLA long Oct Put butterfly; NFLX long Oct Put Butterfly; XOM Long Nov Call Butterfly; GLD Long Dec Put Butterfly; WFM long Nov Put Butterfly; HD long Nov/Dec Put Spread; JNJ Long oct / nov put spread; Guy Adami is long C; Guy Adami is long GS; Guy Adami is long INTC; Guy Adami is long MSFT; Guy Adami is long AGU; Guy Adami is long NUE; Guy Adami is long BTU; Guy Adami's wife, Linda Snow, works at Merck; Karen Finerman is long BAC; Karen Finerman is long C; Karen Finerman is long JPM; Karen Finerman is long TGT; Karen Finerman is long M; Karen Finerman is short SPY; Karen Finerman is short MDY; Andrew Busch is long AAPL; Andrew Busch is long BAC; Andrew Busch is long C; Andrew Busch is long GS; Andrew Busch is long JPM; Andrew Busch is long INTC; Andrew Busch is long CSCO; Andrew Busch is long YHOO; Andrew Busch is long WMT; Andrew Busch is long FB; Andrew Busch is long MSFT; Andrew Busch is long GOOG.