As noodle has said, slow legato practice. Two ideas you can employ whilst doing this:
1) Learn it backwards as well as forwards. Keep the fingering the same, obviously.
2) Play them in rhythms; for instance [dotted-quaver, semiquaver] or [semiquaver, dotted-quaver] pairs. Importantly, when doing this, don't allow any split notes or roughness to creep in - have a pedantic attention to detail
3) Once you can play it backwards, take groups of thirds and play them back and forth; for instance, if the sequence of thirds has the upper notes going G-F-E-D-C then practice them in groups of three:
G-F-E-F-G-F....
F-E-D-E-F-E....
E-D-C-D-E-D....
and once you can do that, groups of four:
G-F-E-D-E-F-G-F.... and so on
Really, it's all to do with breaking it down into easily repetitive chunks and working it into your hands. These sorts of repetitive exercises are quite good for that - one can sit there all day going G-F-E-F-G.... gradually notching up the speed. To spice things up a bit, play the back-and-forth chunks in rhythms too. And, once you're in groups of four use a long-short-short rhythm - that'll really highlight the weak spots. Tedium and slog, but it does pay off

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