Well, I checked the manufacture's site for the OP, and the E5300 isn't listed as compatible or incompatible. Plus there are two (or 6?) 610i boards in the table, and half of them are more compatible than the other half.
Since the Pentium Dual core* is in the same family as the Pentium 4 & Pentium D, I would guess that the e5300 would work on the more compatible boards since it's compatible with all the P4, PD and pentium Dual cores in the table, but I have no idea on the less compatible boards. I'm just guessing though, so no garauntee.

*Note: Core 2 Duo is different family even though the names are close..