Although it is against the Swans' recent recruiting trend of trading for established big men, the club may have to use its first pick – selection No.15 – to secure the 205cm prospect.
Browse profiles and videos of 2013's ruck prospects at the Draft Machine
The Giants are also interested in the Swan Districts 20-year-old, and may look to use their fourth selection at next week's draft – No.29 – on Lobb, which is three spots before Sydney's second selection at pick No.32.
GWS could choose Lobb at pick No.14, but is believed to be strongly considering Geelong Falcons midfielder Lewis Taylor at that selection.
Lobb is a developing and athletic ruckman who played 12 games in the WAFL this year, his first season at that level. He averaged 24 hit-outs and 13 disposals a game, making quick progress after crossing from a basketball background.
Click here to read Rory Lobb's draft profile
The Swans' ruck stocks were run thin when premiership player Shane Mumford crossed to the Giants during the trade period.
It left Mike Pyke as the club's sole senior ruckman, with some concerns over the 29-year-old's long-term fitness. Swans rookie Sam Naismith developed well in 2013 through the NEAFL season.
AFL.com.au reported on Tuesday the Swans had invited Sturt ruckman Angus Kurtze for a day of testing this week in the lead-up to the draft, but the 27-year-old declined the opportunity.
Essendon has expressed interest in recruiting a ruckman with its first selection at the draft (No.26), with Eastern Ranges key forward/ruck Michael Apeness in the club's sights if available.
Recruiters see Apeness as spending more time in attack as a marking goalkicker who can contribute in the ruck.
Twitter: @AFL_CalTwomey