As of 11:30 Houston time (16:30 GMT), companies have evacuated personnel from 239 production platforms, or 38.7% of the 617 manned platforms in the Gulf of Mexico, according to the Bureau of Ocean Energy Management, Regulation and Enforcement.
In all, 60.2% of the Gulf's oil production and 44.3% of its natural gas production has been shut in, the bureau said. The natural gas figure is lower than Saturday's, when 54.6% was shut-in.
Earlier, Tropical Storm Lee had made landfall on the coast of Louisiana.
The southern portion of Louisiana has several refineries and petrochemical plants. Although companies were on alert for any disruptions, there were no known shutdowns or cutbacks in production.
Oil companies, though, had evacuated personnel from offshore platforms.
As of 10:00 hours Houston time, Lee's centre was 30 miles (45km) from Lafayette, Louisiana, according to the National Hurricane Center. The storm was drifting towards the northeast at 3 miles/hour.
Maximum wind speeds were near 45 miles/hour, the centre said. Lee should continue weakening as the day progresses.
In all, 10-15 inches (25-38cm) of rain could fall over southern Louisiana, the centre said. Some regions could have as much as 20 inches through Monday night.
Already, a storm surge of more than 4 feet (1 metre) occurred just south of Morgan City, Louisiana at Amerada Pass, the centre said.
Earlier, the centre warned that storm surges could raise water levels by as much as 5 feet (1.5 metres). A few tornadoes could also form.
In fact, Reuters reported that some tornadoes had been sighted along the Gulf Coast, from Louisiana to the Florida panhandle. However, there were no reports of major damage.
Earlier this week, the state of Louisiana declared a state of emergency because of the threat of heavy rainfall, high tides and flooding.