Frost suffered a crunching fall when parting company with Yala Enki over the 20th fence in the National and was taken to hospital and kept under observation until late on Saturday evening.
Frost posted an image of herself with a black eye on Instragram, followed by a caption that read: "Thank you for all the kind messages I've received. I'm looking like I've got some dodgy purple eyeshadow on but I'm feeling better than what I look!
"My aim is to be back racing the middle of next week. I must pass a concussion test to be passed fit to ride. Knowing myself I have a positive feeling Sandown will be a realistic target to be 110% ready and fit.
"To be apart of Paul Nicholls' team is one of the best not just because we get to ride some of the best horses in the country but when we have hard days everyone rallies to care. Thanks team."
Fellow jockey Harry Cobden was also treated at Aintree University Hospital after both he and Lucky One hit the floor in the Betway Mersey Novices' Hurdle, and although the horse was unharmed, Cobden suffered facial injuries was stood down for the remainder of the card.
Harry Derham, assistant trainer to Paul Nicholls, confirmed that both riders have since been discharged from hospital, saying: "I was with them both last night and they were both very sore and stiff, but fine.
"When I got back late last night they were fine. They're both out of hospital, I drove them home."