This is basically a 'Baby Herman' movie: a baby keeps obliviously wandering into perilous situations, and then just as obliviously wandering out of them again ... while the frantic guardian, all too aware of the danger, keeps getting hurt. But at least this cartoon gives Popeye a change from his usual formula of trading punches with Bluto or some other menace.
Is Swee'Pea meant to be Olive Oyl's nephew, or is he her illegitimate son? Whatever he is, Olive dumps him on Popeye for the day. Popeye dumps Swee'Pea into the pram, and heads for the zoo. There's some nice multiplane animation during the trip to the zoo, and the sequence with the cartoon elephant seems to contain some rotoscoped footage of a live-action elephant.
Most of the gags are quite obvious. At one point, Swee'Pea rides bareback astride a leopard while the soundtrack plays 'Hold that Tiger'. Given that choice of music, why didn't the animators put Swee'Pea on a tiger instead of a leopard? I suspected that there was some gag coming up involving the leopard's spots, which wouldn't work as well with a tiger's stripes. Sure enough.
I dislike movies about babies, and I like cartoon babies even less. Popeye is funnier without Swee'Pea, and it's unfortunate that Olive's role in this toon is so brief that it gives her nothing to do. More for the impressive animation than anything else, I'll rate this 6 out of 10. The Fleischer Studio's cartoons were released through Paramount. After they lost Fleischer, the cartoons produced by Paramount's in-studio animation unit were consistently the worst animation output by any major Hollywood studio. Even the worst Fleischer Popeye cartoon is far better than any of the post-Fleischer Popeyes.