Nevin believes the initial fan criticism would fade if Lampard hit the ground running.
"I still don't think that should stop West Ham supporters taking him on because he's a good manager. He's a very good manager. Derby done well," he insisted.
"I thought in retrospect that he was harshly treated at Chelsea - I thought he did a good job. He kept Everton up which was not easy at the time. And you ask people at Everton, they loved him. They absolutely loved him. Even the fans, even though they were struggling, he got every player, all the people behind him, even the staff.
"He’s done OK at Coventry I think - it's been alright. And he's shown that he's in there for the battle. He's had the Chelsea job, he's had the Everton job, he's had the Chelsea job twice. But it's not beneath him to go and get the hands dirty at Coventry. So that's a guy who wants to work, he cares about it, he loves it. I just don’t know how Frank would feel about the West Ham job. There'd be a wee bit of stick at the start, but I'll make you a promise, if he won the first three or four games, the stick would go."