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We theoretically study the existence and stability of optical solitons in saturable nonlinearity with a two-dimensional parity–time (PT) symmetric Bessel potential. Besides the fundamental solitons, a novel type of dressed soliton, whose intensity looks like a ring dressed on an intensity hump, are presented. It is found that both the fundamental solitons and dressed solitons can exist when the propagation constant is beyond a certain critical value. The propagation stability is investigated with a linear stability analysis corroborated by a beam propagation method. All the fundamental solitons are stable, while dressed solitons are unstable for low values of saturable parameter. As the value of saturable parameter increases, the dressed solitons tend to be stable at high powers.