NL2 - FR - J4 - weak fullhouse

PartyGaming - $0.02 NL - Holdem - 9 players
Hand converted by PokerTracker 3

SB: $2.25
Hero (BB): $2.22
UTG: $2.36
UTG+1: $2.00
MP: $1.95
MP+1: $4.83
LP: $2.26
CO: $2.00
BTN: $3.65

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: ($0.03) Hero has J♠ 4♦

fold, fold, MP calls $0.02, fold, fold, fold, BTN calls $0.02, SB calls $0.01, Hero checks

Flop: ($0.08, 4 players) J♥ 3♠ 3♦
SB checks, Hero bets $0.06, fold, BTN calls $0.06, fold

Turn: ($0.20, 2 players) 3♣
Hero bets $0.14, BTN calls $0.14

River: ($0.48, 2 players) Q♥
Hero bets $0.23, BTN raises to $0.46, Hero calls $0.23 ???

Hello,

Can I call to his min-raise? It looks like I'm ahead here, but I think it's because the probability of having a tie is high like 15%.

Board: J♥3♠3♦ 3♣ Q♥
       Equity     Win     Tie
BU     46.88%  31.25%  15.63% { TT-77, A3s, K3s, QJs, Q3s, J7s+, J3s, T3s, 93s, 83s, 73s, 63s, 53s, 43s, A3o, QJo, J9o+, 43o }
BB     53.13%  37.50%  15.63% { Js4d }

Thanks,
cpers