Fallon in Millers' sights
Fallon's name was on a list of available players circulated by the Pilgrims despite having been a regular for the League One side so far this season.
The 28-year-old New Zealand international played in the World Cup and lists Swindon and Barnsley among his former clubs.
Tall and strong, Moore believes he could be a good foil for Adam Le Fondre but the player remains undecided about his future due to possible interest from one of his former clubs, Championship outfit Swansea City.
Moore said: "We've had a sniff but he wants to sit tight and see what develops. I think he is waiting to see whether Swansea come in and that's a shame because I think he would have given us what we want.
"Fallon has started three games for Plymouth but I think he's ready for a change.
"We'll be keeping an eye on the situation."
Still in the market for an experienced striker, Moore yesterday submitted an increased bid to Tranmere Rovers for his son, Ian Thomas-Moore.
The striker has asked for a transfer and was the subject of a nominal bid from the Millers last week.
Millers chief Moore said: "Tranmere value him at £100,000 but that's ridiculous for a 33-year-old. We would probably pay that for a 23-year-old but not someone of his age.
"We have offered an amount which we think is realistic."
Ian wants to play and the speculation that Tranmere have offered him a new contract is absolute rubbish."
nother target, Jon Macken, continues to train at Walsall while former MK Dons and Charlton Athletic striker Izale McLeod has again refused to go out on loan to the Millers or any other interested club."
We will keep pushing on that one," added Moore.
The Millers hosts Cheltenham tomorrow (3pm).