
During last week's evacuation, traffic jams stretching 160km (100 miles) were
recorded.
"Be patient, stay put, there are still concerns over flooding, fallen
debris," Mr Perry said.
In other developments:
>One person is reported killed and several injured in Mississippi by a
tornado which spun off from the hurricane
>New Orleans' mayor calls for residents to begin returning to the city swamped by Hurricane Katrina.
Winds hinder search
Game wardens and other emergency workers used boats, flying boats and
helicopters in Louisiana's flooded Cajun wetlands to search for stranded residents
who refused to heed storm warnings.
Strong winds continued to drive high water inland, making rescue operations
hazardous, and the search for some 15 people in Vermilion Parish was called
off until Sunday.
"We're risking lives to save their lives when they had an opportunity to leave," Parish Sheriff Mike Couvillan was quoted as saying by Reuters news agency.
In the town of Lake Charles, an oil refinery and gambling centre, falling trees and storm surges from the lake damaged many homes but no casualties were reported.
"It's not as bad as I feared but it's still devastating," town police chief Don Dixon told AFP news agency.
"There is a lot of wind damage. Some of the huge oak trees have literally crushed houses and now we're starting to worry about the storm surge. We've got people out there who need help and we've got to go right now."
Bush in Texas
President George W Bush, in the Texan state capital Austin on Saturday,
warned against rushing back to the affected areas.
"Even though the storm has passed the coastline, the situation is still
dangerous because of potential flooding," he said.
"The first order of business now is search and rescue teams - to pull people out of harm's way."
Reporters note that the White House has taken a very hands-on approach to dealing with Hurricane Rita.
Mindful of the mistakes of Katrina, Mr Bush has had a visible role in the preparations and now the aftermath of this latest storm, our correspondent reports from Houston.

The storm badly damaged several towns along with ports in Texas. One person
was killed by a tornado in Mississippi.
But with Houston spared a direct hit, many Texan evacuees have headed home.
State authorities reported that traffic jams were beginning again as people
headed for the city, America's fourth-largest.
Texan Governor Rick Perry appealed to people to delay their return, as his
administration made plans to stagger the return.