To make a quick visit to someone or some place. If the cake is ready, then I'll just dash over and pick it up now.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
dash over (for something)
[for someone] to come by quickly for something such as a brief visit. I just dashed over for a cup of sugar. Can you spare it? I needed some sugar, so I just dashed over.
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.