US President Joe Biden is set to declare a major disaster for Texas, clearing the way for more federal funds to be spent on relief efforts.
Power is returning in the state and temperatures are set to rise but some 13 million people are still facing difficulties accessing clean water.
Mr Biden has said he will visit Texas as long as his presence is not a burden on relief efforts.
Nearly 60 deaths have been attributed to cold weather across the US.
White House spokeswoman Jen Psaki confirmed Mr Biden has asked his team to expedite Texas' request for a disaster declaration.
He has also been in touch with the mayors of some of Texas' biggest cities, such as Houston, Austin and Dallas, to ensure they have access to government resources, an administration official said.
Several other southern states hit by snow and ice storms this week have also reported water service outages.
Winter weather has also cut off water in the city of Jackson, Mississippi - home to around 150,000 people - as well as the largest county in Tennessee that includes the city of Memphis, with over 651,000 residents.
Across the US South, a region unaccustomed to such frigid temperatures, people whose pipes have frozen have taken to boiling snow to make water.
What is happening in Texas?
The Southwestern state's energy grid has been overwhelmed by a surge in demand for heat as temperatures plummeted to 30-year lows, hitting 0F (-18C) earlier this week.
As of Friday, about 180,000 homes and businesses in Texas still had no electricity. Amid freezing temperatures earlier this week, as many as 3.3 million were without power.
Around 13 million people - close to half of the state's population - have faced some disruption of water services as hundreds of water systems have been damaged by the freeze.
Austin, the state's capital, lost 325m gallons (1.2bn litres) of water when pipes burst, the city's water director told reporters on Thursday.
Texas' largest city, Houston, is under a so-called "boil water notice", with the US Centers for Disease Control and Prevention (CDC) advising that all water planned for consumption - even if filtered - must be boiled as it may be contaminated.
Officials there say they are working to rapidly distribute bottled water, as well as power generators, to people in need. Breweries and other local businesses have also assisted with efforts to supply drinkable water.
On Friday, Texas Governor Greg Abbott said the state is providing "any and all resources to assist and to accelerate the response at the local level".
State officials could not offer a timeline for exactly when the water would come back on, saying it was a question for local water providers - and many have not yet fully assessed the damage to their systems.
Gov Abbott also said more plumbers are headed to the state. Water pipes have been bursting across Texas due to the freeze, and local plumbers have struggled to meet demand.
Over 320 plumbers have renewed their licences, and the state agencies are working with plumbing companies out-of-state to secure additional help, he said.
As of Friday, storm warnings are still in place across much of Texas, but temperatures will rise in the coming days, according to the National Weather Service (NWS).
The forecaster has also warned of dangerous travel conditions and power outages in eastern parts of the US as another winter storm system is expected to bring heavy snow, freezing rain and ice.
As the state continues to grapple with the weather crisis, Texas Republican Senator Ted Cruz is facing a backlash after he left Houston on Wednesday for a vacation in Mexico with his family.
Mr Cruz apologised on Thursday and returned to the US after initially planning to stay through the weekend.