Source: The Great Interpretation of Dreams (Ibn Sirin)
(By analogy with running) Walking quickly in a dream indicates quick fulfillment of needs and salvation from a fearful matter.
Source: Perfuming Humanity in the Expression of Dreams (Al-Nabulsi)
(By analogy) It indicates serious striving in an important matter.
Source: Signs in the Science of Expressions (Ibn Shaheen)
(By analogy) It is interpreted as quick fulfillment of needs.