Tennessee can expect two to three more inches of rain Sunday, a day after a heavy downpour triggered severe flooding and killed at least five people.

Two people were killed Saturday when their SUV was caught in flood waters in Dover, about 80 miles northwest of Nashville, an emergency management official said.

One more person was reported dead in Davidson County, a spokeswoman for the Nashville mayor's office said.

The other two deaths were in Williamson County and Carroll County, said Jeremy Heidt, spokesman for Tennessee Emergency Management.

"This is one of the most severe rain events Nashville has ever experienced," Nashville Mayor Karl Dean said in a statement.

The Harpeth river rose to nearly 26 feet late Saturday evening, causing widespread flooding in the southeast part of the Nashville metro area, the National Weather Service said.

Officials asked Davidson County residents to stay off roads early Sunday morning because heavy rains could make them impassable.

Dean said more than 50 water rescues had been conducted Saturday, and more were under way.

"I urge all Nashville residents to stay home and stay off the roads," Dean said.

At least 2,000 people were displaced after two levees broke in Millington, a small city near Memphis, Millington Police said.

Video from CNN affiliate WZTV showed more than a dozen vehicles submerged in several feet of swift-moving water on I-24 in Nashville.

Rescue workers helped drivers escape as water surrounded their cars, CNN affiliate WSMV reported. The floodwaters pushed a home off its foundation and into the middle of I-24.

Video from WZTV showed a school annex building floating down the interstate before breaking into pieces.

Janel Lacy, a spokeswoman for the Nashville mayor's office, said that in addition to I-24 in Davidson County, 20 other local roads were closed.

CNN iReporter Andrew Ellis sent in a video of a "raging river" of water rushing over an open field where people normally play soccer and golf in Lexington, Tennessee.

"The flooding brought the town to a standstill. No one could get in and no one could get out," he said. "Many homes, vehicles and entire neighborhoods either were or still are under water."

CNN iReporter Jennifer Alter said her dad helped her push her car out after she got stuck on Christmasville Road in Jackson, Tennessee, on the way to work early Saturday morning.

"We went back to check it a few hours later and the road was gone," she said.

Lacy said one shelter had opened at Lipscomb University, and officials planned to open others.

The rain is expected to continue into Sunday morning, she said.

Heidt said floodwaters were expected to crest around 11 p.m. Saturday.

The weather service has reported record flooding at Mill Creek, near Antioch, Tennessee.