The Magpies and West Ham United have again been offered the chance to sign the former Toon No 9.
After telling Newcastle they are wasting their time tracking Carroll - Rodgers has now made his feelings clear as he wants to sign Clint Dempsey from Fulham and Theo Walcott from Arsenal in the last two days of the transfer window.
But Liverpool have told him he must sell to buy.
And this means that Carroll must be offloaded (even to Newcastle and face the humiliation of writing off a loss of £18m to the Geordies) for him to get his wish.
Rodgers: "I don't think we are in a position to have 35million players as third choice strikers.
"It doesn't take a rocket scientist to see that Andy has been a cover player for us in the opening two games."
NEWCASTLE UNITED FIXTURES ...
Thursday August 30 20:00 Europa League Qualifying - Play-Off Newcastle United v Atromitos Athens
Sunday September 2 16:00 Premier League Newcastle United v Aston Villa
Monday September 17 20:00 Premier League Everton v Newcastle United
Saturday September 22 15:00 Premier League Newcastle United v Norwich City
Saturday September 29 15:00 Premier League Reading v Newcastle United
Sunday October 7 16:00 Premier League Newcastle United v Man Utd
NEWCASTLE UNITED REVIEW 2011/12
Newcastle United fans have seen their team come a long way since earning promotion back to the Premier League in 2010 and nobody could have predicted the exciting season that lay ahead at the start of the 2011/12 campaign.
This was a season of rejuvenation as changes were made both on and off the pitch with fresh talent drafted in, in the form of Cissé, Cabaye, Ba and Obertan to name a few, and manager Alan Pardew delivering a brand of attacking football that earned him both the Barclays and LMA Manager of the Season awards.
With the new signings settling in well, and with a good core of players already at the club, Newcastle United undertook an incredible journey that saw them return to the upper echelons of the Premier League and secure a place in Europe the following season, only narrowly missing out on a Champions League place.
There was plenty to cheer this season as stalwarts of the team Fabricio Coloccini, Cheick Tiote and Jonas Gutierrez all solidified their reputations at the heart of the club and Tim Krul and Hatem Ben Arfa both delivered impressive displays.
Relive this exhilarating season in full with highlights of every game and every goal from the campaign including victories over Sunderland, Liverpool, Chelsea and a dominating demolition of 2010/11 champions Manchester United.
PRICE: £11.99
NEWCASTLE UNITED FC 2012/13
PREMIERSHIP
CHELSEA 2 NEWCASTLE 0
Krul, Simpson (Ryan Taylor 64), Steven Taylor, Coloccini, Santon (Marveaux 74), Ben Arfa, Anita, Cabaye (Perch 77), Gutierrez, Ba, Cisse
Subs not used: Harper, Williamson, Gosling, Obertan
NEWCASTLE 2 SPURS 1 (Ba, Ben Arfa pen)
Krul; Simpson, S Taylor, Perch, Santon; Ben Arfa, Cabaye (Anita, 71), Tiote, Gutierrez; Cisse, Ba (Obertan, 85). Subs not used: Harper; R Taylor, Williamson, Gosling, Amalfitano
EUROPA LEAGUE
ATROMITOS 1 NEWCASTLE 1 (R Taylor)
Harper; Tavernier, Williamson, Perch, R Taylor; Bigirimana, Anita; Obertan, Gosling (Amalfitano, 64), Marveaux (Gutierrez, 71); Cisse (Campbell, 77). Subs not used: Krul, Santon, Cabaye, S Taylor.
PRE-SEASON
CARDIFF CITY 4 NEWCASTLE 1 (Shola Ameobi pen)
Krul, Simpson, Coloccini (Williamson 46), Steven Taylor (Gosling 63), Santon, Obertan (Campbell 83), Tiote (Amalfitano 71) , Gutiérrez, Marveaux (Vuckic 46), R Taylor (Perch 28), Shola Ameobi.
HARTLEPOOL 1 NEWCASTLE 5 (Shola Ameobi, Marveaux 2, Obertan, Vuckic)
Harper (Alnwick 82), Simpson (Good 72), Tavernier, Williamson, S.Taylor (Vuckic 46), Perch (R.Taylor 72), Gosling, Amalfitano (Santon 80), Marveaux (Obertan 78), Sh.Ameobi (Ben Arfa 46), Bigirimana (Abeid 59).
DEN HAAG 0 NEWCASTLE 0
Krul; S Taylor (Gosling 65), R Taylor (Perch 71), Coloccini, Santon (Simpson 80); Obertan (Bigirimana 71), Tiote (Ameobi 71), Vuckic (Williamson 65), Gutierrez; Ba (Amalfitano 82), Cisse
BRAGA 1 NEWCASTLE 2 (Ba, R Taylor)
Harper; Simpson, Tavernier, Coloccini, R.Taylor; Sammy Ameobi (Obertan 88), Tiote (Cabaye 70), Gutierrez, Marveaux; Cisse, Ba (Vuckic 85).
OLYMPIACOS 1 NEWCASTLE 1 (S Taylor)
Krul, Perch, Williamson, S.Taylor (Dummett 46), Santon, Obertan (Sammy Ameobi 72), Bigirimana, Gosling (Abeid 36), Amalfitano, Vuckic, Shola Ameobi (Cisse 72).
FENERBAHCE 1 NEWCASTLE 1 (Abeid)
Elliot, Simpson (Santon 68), Tavernier, Coloccini, R Taylor, Tiote (Bigirimana 59), Gosling (Abeid 73), Obertan (Shola Ameobi 75), Marveuax (Gutierrez 59), Vuckic (Sammy Ameobi 46), Ba (Cisse 68).
MONACO 0 NEWCASTLE 1 (Ba)
Harper, Santon (Ryan Taylor 57), Simpson, Williamson (Perch 46), Gutierrez, Amalfitano (Obertan 62), Abeid (Tavernier 46), Bigirimana (Tiote 62), Sammy Ameobi (Vuckic 46), Shola Ameobi (Gosling 62), Ba (Marveaux 78)
CHEMNITZER 1 NEWCASTLE 0
Elliot; Tavernier (Simpson, 70), Williamson, Perch, R Taylor (Santon, 70); Obertan (Gutierrez, 77), Abeid (Bigirimana, 70), Gosling, Amalfitano; Vuckic (Shola Ameobi, 70), Sammy Ameobi (Ba, 77). Sub not used: Harper.