The interim boss equalled Sir Matt Busby's record of winning his first five league games in a row when his side beat Tottenham last Sunday, but could surpass that record with victory this weekend.
Chris Hughton's side will be no easy opponent, however, having given Liverpool a tough test on the south coast last time out.
The Reds came out 1-0 winners thanks to a Mohamed Salah penalty, but Jurgen Klopp admitted afterwards it was a hard-fought win and praised Brighton's organisation and counter-attacking ability.
|Game||Manchester United vs Brighton|
|Date||Saturday, January 19|
|Time||3:00pm GMT / 10:00am ET|
|Stream (US only)||fuboTV (7-day free trial)|
TV Channel, Live Stream & How To Watch
In the United States (US), the game can be watched live and on-demand with fuboTV (7-day free trial) .
New users can sign up for a free seven-day trial of the live sports streaming service, which can be accessed via iOS, Android, Chromecast, Amazon Fire TV, Roku and Apple TV as well as on a web browser.
|US TV channel||Online stream|
|CNBC||fuboTV (7-day free trial)|
In the United Kingdom (UK), the game will not be shown on TV or live-streamed due to the Saturday 3pm blackout law.
|UK TV channel||Online stream|
Squads & Team News
|Position||Man United squad|
|Goalkeepers||De Gea, Grant, Romero|
|Defenders||Lindelof, Bailly, Jones, Rojo, Young, Dalot, Shaw, Valencia, Darmian|
|Midfielders||Pogba, Mata, Lingard, Pereira, Fred, Herrera, Fellaini, Matic, McTominay, Gomes, Hamilton|
|Forwards||Sanchez, Lukaku, Rashford, Martial, Chong, Bohui|
Eric Bailly returns from a three-match suspension after being sent off against Bournemouth, but Chris Smalling is missing again after sitting out recent games with a foot injury.
Alexis Sanchez is ready for a place on the bench after sustaining a knock against Reading in the FA Cup.
But Marcos Rojo remains sidelined and has returned to Argentina to recover from injury.
Luke Shaw was taken ill in the warm-up and replaced in the side by Diogo Dalot.
Man Utd XI: De Gea, Young, Dalot, Jones, Lindelof, Matic, Pogba, Herrera, Lingard, Martial, Rashford.
Subs: Romero, Bailly, Darmian, Pereira, Mata, Sanchez, Lukaku.
|Goalkeepers||Ryan, Button, Steele|
|Defenders||Dunk, Duffy, Bruno, Montoya, Bong, Bernardo, Balogun, Burn|
|Midfielders||Bissouma, Propper, Stephens, Kayal, Gross, March, Izquierdo, Knockeart, Jahanbakhsh|
|Forwards||Locadia, Murray, Andone|
Jose Izquierdo (knee) and Yves Bissouma (hip) are also set to miss out.
Left-back Bernardo is also absent having been out since picking up a minor hamstring problem against West Ham on January 2.
Brighton XI: Button, Bong, Duffy, Dunk, Stephens, Locadia, Gross, Murray, March, Montoya, Propper.
Subs: Steele, Bruno, Balogun, Kayal, Knockaert, Andone, Gyokeres.
Betting & Match Odds
Manchester United are firm favourites to continue their winning run at 2/7 with bet365 . The draw is 4/1, or Brighton can be backed to end Solskjaer's unbeaten record at 10/1.
United could move ahead of fifth-placed Arsenal for the first time since Mourinho was sacked in December if they pick up a point against Brighton.
The Gunners do not kick-off against Chelsea until 5:30pm (GMT), and with the Blues in fourth place - six points ahead of United and Arsenal - the Red Devils will gain ground on at least one of their rivals should they win at Old Trafford.
Solskjaer has already bridged an eight-point gap to Unai Emery's side, and will hope Marcus Rashford and Paul Pogba will continue their good form to boost United's top-four hopes even further.
The duo combined for the Reds' goal when they beat Tottenham 1-0 at Wembley Stadium last week .
Pogba came out after the game and admitted he is enjoying Solskjaer's style after struggling under negative tactics before the Norwegian's appointment.
Solskjaer also had goalkeeper David de Gea to thank for that win, as the Spaniard pulled off 11 saves in the second half.
But the Reds will be looking for revenge when they take on the Seagulls on Saturday, having lost their last two fixtures against Hughton's side.
The Manchester club was beaten 1-0 at the Amex in May last year before another disappointing trip to the south coast in August that ended in a 3-2 defeat.
Brighton have a strong defensive record with only 30 goals conceded in their 22 Premier League games this term, and will test the attacking form United have shown in recent weeks.