Baggies manager Roberto Di Matteo, who has confirmed his interest in signing the 19-year-old on a temporary basis, was initially keen on acquiring the services of Macheda for a spell at the start of last season.
"Macheda is someone we looked at right at the start of last season. He's a striker, we are after a striker and we have to look at whether Manchester United will let him join us," said Di Matteo, who has also been linked with Aston Villa's John Carew.
Injuries to defenders Pablo Ibanez (hamstring) and Steven Reid (knee) during Saturday's 2-1 defeat against United mean Di Matteo is also considering adding in that department. He said: "We have to look at that possibility."
Jonas Olsson is still sidelined with an Achilles injury while Gabriel Tamas is only one game into a three-match ban. But Gonzalo Jara will return after a one-game suspension for Tuesday's clash at Fulham.