Ronald Reagan paid a hospital visit today to wounded civil rights leader Vernon Jordon and said afterward that he thought the National Urban League president was well on the road to recovery.

"I was gratified to find how well he looks and well he's doing and that he expects in the next couple of weeks to be up and around and out of here," Reagan told reporters after spending 40 minutes with Jordan.

The 44-year-old Jordan was shot by a sniper in Fort Wayne, on June 5. His assailant has not been apprehended. Reagan, who will make what he regards as a major speech to the Urban League on Tuesday, arrived at the hospital a half-hour after Sen. Edward M. Kennedy concluded a visit with Jordan. President Carter will pay a similar call later in the week.

Outside the hospital, Reagan answered questions briefly on a variety of topics. He said he was sending his running mate, George Bush, to Japan and China later this month. The Republican presidential nominee indicated he wanted to reassure the Peking government that a Reagan administration would not disrupt relations between the United States and China.

". . . It would be well to let them know that at the same time we intend to maintain our relations with the Republic of China on Taiwan. This does not mean that in any way that we want to or intend to lessen the effort to build a friendship with the People's Republic of China on the mainland," Reagan said.

The Chinese government has been openly skeptical about the intentions of Reagan, who has sharply criticized the Carter administration's breaking of formal ties with Taiwan. "No more Taiwans" was a Reagan battle cry in the Republican primaries, though it is a slogan that he has not uttered on the campaign stump for several weeks.

Last month, Reagan foreign policy adviser Richard V. Allen publicly assured the Chinese that Reagan would not make any change in the present relationship if he is elected president. Allen will accompany Bush on the week-long trip, which also is likely to include stops in Alaska and Hawaii.

Bush was a special envoy to the Chinese government in 1974-75 after Richard Nixon reestablished U.S.-Chinese relations.