The 35-year-old TV personality pleaded with her followers on Instagram and also told them to "check on loved ones regularly".
In the post on Instagram Stories she wrote: "Covid has ripped through my family in the past month & it has been absolutely horrendous.
"Please stay safe everyone, stay home, wear masks & also check on loved ones regularly.
"The fight isn't over for us yet, we are taking every day as it comes and praying a lot."
She said people should "remember" to think about their mental health, adding it is "super important".
Wright added: "With so much uncertainty, we need to support each other through this & build each other up.
"Sending love & I guess, luck to everyone at the minute.
"An even bigger thank you to the NHS for everything have have done & are doing, our real true heroes."
Last week, Wright said the festive period had ended with her "away from my loved ones because they're either in hospital or at home with an awful virus".
The stars plea came just as the Office for National Statistics published figures confirming that about one in 50 people in England, some 1.12 million, had the infection in the week to January 2.