The big Belgian was named as a substitute for the opening match against Leicester City after playing his part in his country's run to the World Cup semi-finals this summer.
With another week of training behind him, though, Lukaku is likely to start at Amex Stadium and dabblebet offer 21/20 (2.05) that the former Everton man opens his account for the season against Brighton.
With Lukaku likely to return, Marcus Rashford is expected to be deployed on the wing against the Seagulls and that positional change may suit the 20-year-old; dabblebet go 11/8 (2.36) that Rashford finds the net this weekend.
Alexis Sanchez is a 7/5 (2.40) chance to score at any time and that price may well prove popular with punters given the Chilean's unquestionable quality from dead-ball situations.
Similarly, the 14/5 (3.80) quote for Paul Pogba to score his second goal of the season could represent value, particularly if the World Cup winner retains responsibility for taking United's penalty kicks.
Murray to make his mark?
Veteran striker Glenn Murray notched 12 league goals last term and dabblebet go 2/1 (3.0) that he gets his first goal of the current campaign against Mourinho's men.
Pascal Gross scored the only goal of the game when these sides last met and the 7/2 (4.50) quote from dabblebet for him to score offers decent value, for the midfield maestro found the target on no fewer than seven occasions last term.
Yves Bissouma is a 4/1 (5.0) shot with dabblebet to write his name into Brighton folklore with a goal against Manchester United, while Iranian winger Alireza Jahanbakhsh is a 7/2 (4.50) chance with the same firm.
Brighton, though, barely laid a glove on Watford last week and Mourinho's men will be confident of containing the threat posed by Chris Hughton's side.
Romelu Lukaku enjoyed a fruitful World Cup in Russia, scoring four goals as his side secured a third-place finish and the 21/20 (2.05) quote for Lukaku to make his mark may represent best value for punters.