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 | 14 | 12 | 0 | 2 | 43 | 10 | 33 | 36 |
| 2 | Benfica | 14 | 11 | 2 | 1 | 34 | 8 | 26 | 35 |
| 3 | Porto | 14 | 11 | 1 | 2 | 33 | 9 | 24 | 34 |
| 4 | Santa ClaraSanta Clara | 14 | 9 | 0 | 5 | 16 | 13 | 3 | 27 |
| 5 | Braga | 14 | 7 | 4 | 3 | 25 | 16 | 9 | 25 |
| 6 | Vitoria de GuimaraesGuimaraes | 14 | 6 | 4 | 4 | 18 | 14 | 4 | 22 |
| 7 | MoreirenseMoreirense | 14 | 6 | 2 | 6 | 19 | 19 | 0 | 20 |
| 8 | Casa Pia | 15 | 5 | 5 | 5 | 16 | 18 | -2 | 20 |
| 9 | FamalicaoFamalicao | 14 | 4 | 7 | 3 | 17 | 15 | 2 | 19 |
| 10 | Gil Vicente | 14 | 4 | 4 | 6 | 17 | 24 | -7 | 16 |
| 11 | Rio AveRio Ave | 14 | 4 | 4 | 6 | 15 | 25 | -10 | 16 |
| 12 | Estoril PraiaEstoril | 14 | 3 | 5 | 6 | 12 | 21 | -9 | 14 |
| 13 | AVS | 14 | 2 | 6 | 6 | 11 | 22 | -11 | 12 |
| 14 | Nacional | 14 | 3 | 3 | 8 | 8 | 19 | -11 | 12 |
| 15 | Estrela Amadora | 14 | 3 | 3 | 8 | 12 | 24 | -12 | 12 |
| 16 | BoavistaBoavista | 14 | 2 | 5 | 7 | 10 | 19 | -9 | 11 |
| 17 | AroucaArouca | 15 | 3 | 2 | 10 | 9 | 26 | -17 | 11 |
| 18 | SC FarenseFarense | 14 | 2 | 3 | 9 | 7 | 20 | -13 | 9 |
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