Can I do a redirect to a new domain name only a couple of weeks after having redirected to another domain?

[Drewco]

I have a client with two website with very similar content.  Both had a lot of inbound links and performed fairly well in SERPS.  We recently combined both sites and have redirected one of the domains to the other.  The traffic dipped slightly initially, but is recovering nicely.  Now the client registered a new domain name he would like to use for the site.  Should I wait a few weeks for everything to settle down after the first redirect/consolidation of sites before doing a new redirect to a new domain name, or should I not worry about having any issues with doing it right away?

[Francisco_Meza]

Watch the entire thing. Matt Cutts can answer your question better than anyone here. http://www.youtube.com/watch?v=r1lVPrYoBkA

Personally I would 301 BOTH old site to the new site. I would NOT daisy chain.

[Drewco]

Good information straight from the source.  Thanks!

[Francisco_Meza]

Please mark this as "Good Answer" so I get credit.