The 25-year-old has caught the eye of Rafael Benitez, and the Spaniard will make his move when the transfer window opens in January, according to Portuguese publication A Bola.
The creative and versatile Gaitan, who has been linked with switches to Chelsea and Manchester United in the past, could be available for around €20m (£16m).
Benitez's side are currently third in Serie A.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Sporting Lisbon | 13 | 11 | 0 | 2 | 40 | 8 | 32 | 33 |
| 2 | Benfica | 12 | 10 | 1 | 1 | 31 | 7 | 24 | 31 |
| 3 | Porto | 13 | 10 | 1 | 2 | 31 | 9 | 22 | 31 |
| 4 | Santa ClaraSanta Clara | 13 | 9 | 0 | 4 | 16 | 12 | 4 | 27 |
| 5 | Braga | 13 | 7 | 3 | 3 | 22 | 13 | 9 | 24 |
| 6 | Vitoria de GuimaraesGuimaraes | 13 | 6 | 3 | 4 | 16 | 12 | 4 | 21 |
| 7 | MoreirenseMoreirense | 13 | 6 | 2 | 5 | 19 | 18 | 1 | 20 |
| 8 | FamalicaoFamalicao | 13 | 4 | 6 | 3 | 14 | 12 | 2 | 18 |
| 9 | Rio AveRio Ave | 13 | 4 | 3 | 6 | 13 | 23 | -10 | 15 |
| 10 | Casa Pia | 13 | 3 | 5 | 5 | 11 | 17 | -6 | 14 |
| 11 | Estoril PraiaEstoril | 13 | 3 | 5 | 5 | 12 | 19 | -7 | 14 |
| 12 | Gil Vicente | 13 | 3 | 4 | 6 | 16 | 24 | -8 | 13 |
| 13 | Estrela Amadora | 13 | 3 | 3 | 7 | 12 | 22 | -10 | 12 |
| 14 | BoavistaBoavista | 13 | 2 | 5 | 6 | 8 | 16 | -8 | 11 |
| 15 | AVS | 13 | 2 | 5 | 6 | 10 | 21 | -11 | 11 |
| 16 | Nacional | 12 | 2 | 3 | 7 | 7 | 17 | -10 | 9 |
| 17 | SC FarenseFarense | 13 | 2 | 3 | 8 | 7 | 19 | -12 | 9 |
| 18 | AroucaArouca | 13 | 2 | 2 | 9 | 7 | 23 | -16 | 8 |
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