The Dialog component provides a transitional option that can be used to override the default value. An example in the Dialog demo video (with the inscription "Slide in the notification dialog box"), which uses the provided slide transition:
import Slide from 'material-ui/transitions/Slide';
Then:
<Dialog open={this.state.open} transition={Slide} onRequestClose={this.handleRequestClose}>
Here are the migration components that they provide:
If none of them serves your purpose, you can use them as a starting point to create your own transition component.
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