He's using Jazz type chords to get that sound.
I will post the major chords so you can play along with the CD.

Capo 1


   G (320003@1)                            G7In (320001@1)case you hadn't noticed, I'm a logical guy
      C (x32010@1)                           DI (xx0232@1)put two and two together and came up with you and I
        G (320003@1)                   G7Made (320001@1)an informed decision, my ducks are in a row
         C (x32010@1)                              CmWell (x3101x@1)I'm doing all this thinking , well I guess you ought to know
G (320003@1) Em (022000@1) C (x32010@1)          D (xx0232@1)       GHey (320003@1)baby I would look good with you

I'm a little to short, you're a hair to tall
I can buy a stepladder ain't no trouble at all
With my powers of persuasion and your cheerleader smile
My uncanny way with numbers and your middle-class sttyle
Hey baby, I would look good with you


Chorus:
                   Em (022000@1)  G'Cause (320003@1)everybody's beautiful
                D (xx0232@1)     GIf (320003@1)you take the time to see
                 Em (022000@1) GDon't (320003@1)have to be sensible
F (133211@1)                            GHey (320003@1)baby, just as long as it's me


We can take a cue from Noah and build a really big boat
You could work on your tan while we sail to Rio
Don't matter where we're headed, don't matter what we do
Got a sneaky suspicion and I'm pretty sure it's good
Hey baby I would look good with you

Chorus

Chorus


No one believed Columbus when he said the world wasn't flat
Believe me when I tell you right, right here is where it's at
Hey baby I would look good with
Hey baby I would look good with
Hey baby I would look good with you