Nachum already knew Cyneah had found Kyran in the Higher Realm and that he had requested his family to join them because of the current situation there.
When Nachum heard the news, he wanted to offer assistance because he had never had the chance to repay everything Kyran had done for Somuli. In the end, he could not offer any help until Kyran's people left Somuli.
Nachum hesitated because he did not want others to think he was offering assistance so he could enter the Higher Realm without joining the war. As for who were the others he was referring to, they were the mages from The Coven and the Guardians faction.
To be clear, Nachum had no negative opinion about them. They had been a great help in ensuring Somuli's safety since he was injured by The Emperor, after all. He only worried they would think that way since he never joined their faction.