Ogea, one of six starters the Indians had under contract, had become expendable with the emergence of young right-handers Jaret Wright and Bartolo Colon.
Ogea, 28, won two World Series starts for Cleveland in 1997 but was beaten by the New York Yankees in this year's critical Game 5 of the AL championship series. The right-hander battled injuries all year and went 5-4 with a 5.61 ERA in nine starts and 10 relief appearances.
Spradlin was 4-4 with a 3.53 ERA in 69 relief appearances for the Phillies, recording a career-high 76 strikeouts in 81 2-3 innings.
"In Jerry Spradlin we have acquired a strong physical guy with a power arm who could help us in the back end of our bullpen," Indians general manager John Hart said. "This deal is consistent with our successful philosophy of building a strong and reliable bullpen."
The Indians have been thought to be looking for an ace starter or a second baseman this offseason and have made an initial offer to Baltimore's Roberto Alomar.
This could be the first trade in a potentially busy offseason for Hart.
Meanwhile, a source speaking on the condition of anonymity, said the Indians and Colon are close to agreement on a four-year deal worth about $16 million and could complete the contract next week. The deal would have a team option for 2003.
Colon, 23, went 14-9 with a 3.71 ERA in his first full season in the major leagues and was the Indians' most consistent starter from April until the All-Star break.
He also pitched a four-hitter against the Yankees in the AL championship series and gave up just one run in Cleveland's division series-clinching win over the Boston Red Sox.